Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

Answers

Answer 1

Answer:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

[tex]y = 1 -2x[/tex]

Rearrange into slope-intercept form:

[tex]y = -2x+1[/tex]

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Plug in the given point (1,3) and solve for b:

[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

I hope this helps!


Related Questions

need help with this plz

Answers

Answer:

[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]

Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2

Answers

Answer:

x^4 - 2x^3 - 29x^2 - 42x

Step-by-step explanation:

Equal all the zeros to x then move them over.

x=7,x=-3,x=0,x=-2

x-7,x+3,x+0,x+2

Then multiply each factor

(x-7)(x+3)(x)(x+2)

x^4 - 2x^3 - 29x^2 - 42x

Please help! The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.

Answers

Well the teacher would only get $15 but we don’t know how much the balls cost so you can’t make an expression

Enter the data as given, on the sample Form 1040EZ below. (Do not enter dollar signs or commas.)
Enter a social security number. It is 039-29-7319.
Enter 000-00-0000 for Spouse's Social Security Number
On line 1 enter $5,000.00
On line 2 enter $50.00.
On line 4 enter the total of line 1 plus line 2.
On line 5 put an "x" at yes and enter one zero.
On line 6 enter the total from line 4.
On line 7 enter $757.50
On line 10 enter $5,050 x 0.15 = 757.5
On line 11a enter line 7 minus line 10.
On line 12 enter line 7 minus line 10.
Type "John" in the signature box. (Your name would normally go here.)

Answers

9514 1404 393

Explanation:

Of course, copying the form is the same as following the instructions telling you how to fill in the form.

Line 4 is the sum 5000 +50 = 5050.

Lines 11a and 12 are the difference 757.50 -757.50 = 0.

PLEASE HELP I WILL GIVE BRAINLIEST!!

Ella completed the following work to test the equivalence of two expressions.

2 f + 2.6. 2 (0) + 2.6. 0 + 2.6. 2.6. 3 f + 2.6. 3 (0) + 2.6. 0 + 2.6. 2.6.

Which is true about the expressions?
The expressions are equivalent because Ella got different results when she substituted zero for f.
The expressions are equivalent because Ella got the same result when she substituted zero for f.
The expressions are not equivalent because Ella would get different results when substituting different numbers for f.
The expressions are not equivalent because Ella would get the same results when substituting different numbers for f.

Answers

Answer  *The expressions are not equivalent because Ella would get different results when substituting different numbers for f.

(But I'm not sure.

Answer:

the answer is b

Step-by-step explanation:

bcz when she substituted 0 for f she got the same result on both the answers

it does matter what the constant of the first term is as long as the second term remains the same ( the first constant or number is being multiplied by 0 the result will always be 0)

Write < , >, or = to make the statement true 0.333 1.03

Answers

Answer:

0.333 < 1.03

Step-by-step explanation:

1.03 is greater than 0.333.

In fraction form, 1.03 is [tex]1\frac{3}{100}[/tex].

While 0.333 is [tex]\frac{33}{100}[/tex], which is a third of 1.

Therefore, 0.333 <  1.03.

Is this last one correct?

Answers

Answer:

yes

Step-by-step explanation:

2 1/4 is the most ofen used.

1 1/2 is the least amount of glue needed

subtract it and you get 3/4

Answer:

yes it is

Step-by-step explanation:

(BRAINLIEST to best answer) - Write a linear equation that goes through (1, 3) and (2, 6).

Answers

Answer:

y = 3x

Step-by-step explanation:

Using the given points find the slope and the y- intercept.

y = mx + b

The slope is:

m = (6 - 3)/(2 - 1) = 3/1 = 3

The y- intercept is:

3 = 3*1 + b3 = 3 + bb = 0

The line is:

y = 3x
(1,3)(2,6)

Slope

m=6-3/2-1m=3

Equation in point slope form

y-3=3(x-1)y-3=3x-3y=3x

ANSWER PLEASE !!!!!!

Answers

Answer:

B= 40 degress

Step-by-step explanation:

1x+ 5xc /3xc = 40

an equation for the line, in point stope form, that passes through the following points (- 4, - 4); (4, 5)

Answers

Answer:

(8,9)

Step-by-step explanation:

-4+8=4

-4+9=5

that what i think

Kenji and Alec are making paper kites for a kite fight, Kenji's kite is a rectangle and Alec's kite is a

parallelogram that is not a rectangle. Each boy draws

a model of his kite on grid paper. Does Alec's kite use

more paper than Kenji's kite?

Answers

Answer:

No

Step-by-step explanation:

Kenji's kite uses more paper

I really need assistance with this question

Answers

Answer:

first

Step-by-step explanation:

Lumen

Managerial Accounting

Chapter 5: Cost Behavior and Cost-Volume-Profit Analysis

5.6 Break – Even Point for a single product

Finding the break-even point

A company breaks even for a given period when sales revenue and costs charged to that period are equal. Thus, the break-even point is that level of operations at which a company realizes no net income or loss.

A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss. To illustrate the calculation of a break-even point watch the following video and then we will work with the previous company, Video Productions.

Before we can begin, we need two things from the previous page: Contribution Margin per unit and Contribution Margin RATIO. These formulas are:

Contribution Margin per unit = Sales Price – Variable Cost per Unit

Contribution Margin Ratio = Contribution margin (Sales – Variable Cost)

Sales

Break-even in units

Recall that Video Productions produces DVDs selling for $20 per unit. Fixed costs

State whether the following angle measures can form a triangle.
A) 90, 90, 35
B) 60, 27, 93
(PLEASE HELP)
(If you could also please help me with question 4 as well I will give you brainliest)

Answers

Answer:

3.b because 60,27,93

Step-by-step explanation:

can you brainliest me

Answer:

3.b

2.155/⅘

Step-by-step explanation:

hope it's helpful

add the fraction 9/+1 1/6=10 1/4​

Answers

Answer:

41/4

Step-by-step explanation:

for which values of a, b, and c will Ax+ By=C be a horizontal line through the point (-4,2)

Answers

Answer:

A = 0, B = 1 and C = 2

Step-by-step explanation:

The slope of a horizonal line is zero.

y = mx + b              Use the slope intercept form with m = 0  and point (-4, 2).

2 = 0(-4) + b           Solve for "b"

2 = 0 + b

2 = b

The equation in slope intercept form is y = 0x + 2 ; y = 2.

The equation in standard form: Ax + By = C   has the value 0x + y = 2

Write the equation for the line that passes through ( - 8, - 4 ) and ( -6, - 1 ) in slope-intercept form.

Answers

Step-by-step explanation:

y=(3/2)x +8

that is the answer

The equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line that passes through (-8, - 4 ) and ( -6, - 1)

The standard form of the line in slope-intercept form:

y = mx + c

Here m is the slope of the line

c is the y-intercept.

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]

m = 3/2

y = (3/2)x + c

Plug x = -8, y = -4

-4 = (3/2)(-8) + c

c = 8

y = (3/2)x + 8

Thus, the equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Subtract. (2/9)−(−1/3+5/9)

Answers

Answer:

0

Step-by-step explanation:

the answer is in the above

the answer is 0

please help need this done by tomorrow thank you [PHOTO]​​

Answers

Hey there!

4x - 16 + 2x + 16 = 180 (linear pair)

4x + 2x - 16 + 16 = 180

6x = 180

x = 180/6

x = 30.

Hope it helps ya!

Which best describes how the graph of g(x) = square root of 25/9 x relates to the graph of the parent function, f(x) = square root of x?

The graph of g(x) is shrunk vertically by a factor of 5/3.
The graph of g(x) is stretched vertically by a factor of 5/3.
The graph of g(x) is shrunk vertically by a factor of 25/9.
The graph of g(x) is stretched vertically by a factor of 25/9.

Answers

Answer:

The graph of g(x) is stretched vertically by a factor of 5/3.

Step-by-step explanation:

f(x) = √x

g(x) = √25/9 x = 5/3 √x

5/3 > 1 .. vertical stretch by a factor of 5/3

solve pls brainliest

Answers

Answer:

v=25.6

Step-by-step explanation:

12.8 x 2 = 25.6 therefore you can check by dividing by 2

Answer:

V=25.6

Step-by-step explanation:

[tex] \frac{v}{2} = 12.8[/tex]

Sidney originally had c cups of Greek yogurt. He used 1.75 cups to make a salad dressing and now he has 5.5 cups left over. Which equation can be used to determine the value of c?
A.1.75c=5.5
B. c/1.75=5.5
C.c-1.75=5.5
D. 1.75+c-5.5

Answers

c. c-1.75=5.5 !:!:!!

Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!​

Answers

Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

Answer:

P(1, 3)

Step-by-step explanation:

Coordinates of A and B:

A(-1, 4), B(5, 1)

The partition ratio:

AP/PB = 1/2

Coordinates of P are:

x = -1 + 1/3(5 - (-1)) = -1 + 6/3 = 1y = 4 + 1/3(1 - 4) = 4 - 3/3 = 3

will you please help me

Answers

Answer:

sure if im able, with what?

Step-by-step explanation:

solve each equation. 6x+2/3-2=4x-4/6

Answers

Answer:

6x+2/3-2=4x-4/6

6x-4x = 2-⅔-4/6

2x = 2-(4+4)/6

2x = (12-8)/6

2x = 4/6

12x = 4

x = 4/12

x =⅓

Step-by-step explanation:

brainliest plz

Need help with number 2 and 3

Answers

Answer:

2. SSS ( Side-Side-Side)

9.35 x 9 = 3.15 is this an overestimate or underestimate?

Answers

Answer:

7/187

Step-by-step explanation:

thats it simplified if this helps

Find the domain of Log (x-4)

Answers

Answer:Domain:  ( 4 , ∞ ) , { x | x > 4 }

which point lies on the graph of y = -|x| -5?​

Answers

Answer:

it is a answer

Step-by-step explanation:

Write the converse inverse and contrapositive of the statement below

Answers

Answer:

c because if the converse is true then the inverse is also logically through

A laptop has a listed price of $693.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

45.11

Step-by-step explanation:

693.95 x .065 = 45.11

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