Mathematics High School

What is an equation of a line in point-slope form, that passes through (1, - 7) and has a slope of -⅔​

What Is An Equation Of A Line In Point-slope Form, That Passes Through (1, - 7) And Has A Slope Of -

Answers

Answer 1

Answer:

[tex]y+7=-\dfrac23(x-1)[/tex]

Step-by-step explanation:

Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

where:

[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on the line

Given:

[tex]m=-\dfrac23[/tex][tex](x_1,y_1)=(1,-7)[/tex]

Substitute the given values into the formula:

[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]

[tex]\implies y+7=-\dfrac23(x-1)[/tex]

Related Questions

The product of two consecutive positive integer is 306. We need to find the Integers.

Hope you guys are help me.​

Answers

Answer:

Let the given set of integers be n and (n+1)

n(n+1)=306

n to the power square +n−306=0

(n+17)(n−16)=0

Therefore, n=16 and integers are 16 and 17.

Answer:

17, 18

Explanation:

Let the integers be y, y + 1

=======================

y * (y + 1) = 306                    (products of them)y² + y = 306                         (multiply)y² + y - 306 = 0y² + 18y - 17y -306 = 0         (factorize)y(y+18) -17(y+18) = 0             (take out common variables)(y-17)(y+18) = 0                     (collect into groups)y = 17, -18                                y = 17                                    (as required positive integer)

Next integer:

y + 117 + 118

10% of the 50 coffee mugs at Adam's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0.10*50=5

the quadrilaterals ABCD and JKLM are similar. Find the length of x of KL


sorry if the photo does not load

Answers

Answer:

1.5

Step-by-step explanation:

abcd is 2 times bigger than jklm. so 3÷2=1.5

5÷2=2.5

2÷2=1

7÷2=3.5

so that means 3÷2=1.5

Find the measure of <1

Please answer ASAP

Answers

Answer: 70 degrees

Step-by-step explanation:

The angle created by a tangent and a chord is half the measure of the arc.

Select the correct answer. What is the range of the function shown on the graph?​

Answers

Answer:

B

Step-by-step explanation:

The lower limit of the range of the function is -6, as it does the y-value does not decrease below that amountThe upper limit is not shown, hence we can assume it to be infinity (∞)

Range

Lower limit < y < Upper limit-6 < y < ∞

The best option is B

Complete the point-slope equation of the line through (3,6) and (5,-8)

Answers

Answer:

y = - 7x + 17

Step-by-step explanation:

Given, (3,6) and (5,-8)

Equation of a straight line is y = mx + c

Here, y = -8, x = 5 and m = ?

m = [tex]\frac{Change in Y}{Change in X}[/tex]

m = [tex]\frac{-8 - 6}{5 - 3}[/tex]

m = - 7

Substituting x, y and m in y = mx + c we get,

- 8 = - 7(5) + c

c = 35 - 8

c = 17

The equation is y = - 7x + 17 (Answer).

A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?

Answers

Answer:

33%

Step-by-step explanation:

x = original price     now take 45% off <=====means you pay 55% of original

.55 x    is the new price      now  take 40% MORE off (leaving 60%)

.55x * .6  = .33 x    

3a + 2=11... need help urgently. ​

Answers

Answer:

a=3

Step-by-step explanation:

3a+2=11

-2

3a=9/3

a=3

Answer:

answer is a=3

Step-by-step explanation:


What is the difference between the 8th square number and the 4th square number?

Answers

Answer:

240

Step-by-step explanation:

The 8th square number is 2^8 = 256.

The 4th square number is 2^4 = 16.

Their difference is 256 - 16 = 240.

I NEED THAT ANSWER ASAP

Answers

Answer:

y=-4x-7

Step-by-step explanation:

remember the equation y=mx+b, where the slope is the m along with the x because it is an ever changing variable, and b is being the y intercept, that basically gives the answer.

What is the area of the
figure shown?
in?
3 in.
10 in.
5 in.
10 in.
Intro
Done

Answers

Answer:

65in^2

Step-by-step explanation:

5*10+(1/2)*3*10=65

Solve for x: 2/7 (x-2) =4c

Answers

Answer:

x=14c+2

Step-by-step explanation:

[tex]\frac{2}{7} (x-2)=4c \\\frac{2}{7}x-\frac{4}{7} =4c\\\frac{2}{7}x=4c+\frac{4}{7}\\\frac{2}{7}x= \frac{28c+4}{7} \\2x=28c+4\\x=14c+2[/tex]

What slope would make the lines
perpendicular?
y = 1/2x-1
y = [?]x - 1

Answers

Answer:

y = [-2]x - 1

Step-by-step explanation:

y = [-2]x - 1 will make the lines perpendicular.

Because the product of slopes of perpendicular lines is -1

-> 1/2*(-2) = -1

Hope it helps you in your learning process.

SOMEONE PLES HELP ME !!!
1. even or odd
2. Positive or negative

Answers

Step-by-step explanation:

The degree fix, is 4 and the leading coefficient of is 3 There are values. distinct real zeros and 3. relative maximum 2 [analyze]

A variable needs to be eliminated to solve
the system of equations below. Choose the
correct first step.
-4x + y = -35
-2x - y = -7
Add to eliminate x.
Add to eliminate y.
Subtract to eliminate x.
Subtract to eliminate y.

Answers

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

A recipe requires ¼ lb. of ground beef to make 5 servings of lasagna. Ricardo has 3 ½ lbs. of ground beef. How many servings can Ricardo make?

Answers

Answer:

70 servings

Step-by-step explanation:

3 and 1/2 lbs is equal to 14/4. If 1/4 lbs of ground beef makes 5 servings, and you have 14/4, simply multiply 5 by 14.

Answer:

Ricardo can make 70 servings of lasagna.

Step-by-step explanation:

3.5 divided by 0.25 = 14

14 x 5 = 70

The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose?

Answers

Answer:

5 $ per rose

Step-by-step explanation:

it is 5 $ as

if we do 90 / 18 we get 5

or 5 × 18 is also equal to 90

therefore it is 5$ per rose

edit if you like my answer please mark brainlist

P(, b)
s(a)
70)
T
16
Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the
given coordinates to justify your answer. Yes it is because all four sides are parallel to each other.
Part A:
1. What is the slope of side OP?
2. What is the slope of side TS?
3. Are side OP and side TS parallel/perpendicular/neither? Parallel
Part B
1. What is the slope of side OT?
2. What is the slope of side PS?
3. Are side OT and side PS parallel/perpendicular/neither? Parallel
Part C
1. What is the length of side OP?
2. What is the length of side TS?
3. Are side OP and TS congruent or not congruent? They are congruent
Part D
1. What is the length of side PS?
2. What is the length of side OT?
3. Are side PS and side TS congruent or not congruent? They are not congruent
Part B
1. What is the midpoint of diagonal PT?
2. What is the midpoint of diagonal OS?
3. Do the two diagonals PT and OS bisect each other? Yes

Answers

Answer:

lmk when you got the answer

No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.

Answers

If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.

What is Trenchless Installation of Conduits Underneath Highway?

Trenchless Installation of Conduits Underneath Highways is described as a planned and engineered way with the issue of permits for installing conduits beneath roadways, local transportation authorities; and manufacturers of trenchless construction equipment.

It presents the current situation of the technique for laying conduits beneath highways without open-cut excavation using trenchless technology.

If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.

Learn more about Installation of Conduits here:

https://brainly.com/question/2272757

Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.

Answers

Step-by-step explanation:

14, 14,median

So option d is right

I hope it helped you

A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?
ty if you could help :)

Answers

Answer:

The chain is around 11 feet in length.

Step-by-step explanation:

Area of a circle = π × r²

380 ft² = π × r²

121 ft² = r²

11 ft = r

Please help this is due in 10 minutes!!!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's calculate the volume of hemisphere} [/tex]

[tex] \textbf{Given :} [/tex]

[tex] \textsf{radius = 11 inches} [/tex]

[tex] \textbf{Volume of a hemisphere is :} [/tex]

[tex] \sf{v=\dfrac{2}{3}\pi r³} [/tex]

[tex] \sf{v=\dfrac{2}{3}\cdot 3.14 \cdot 11³} [/tex]

[tex] \sf{v=\dfrac{2}{3}\cdot 3.14\cdot 1331} [/tex]

[tex] \sf{v=\dfrac{8358.68}{3}} [/tex]

[tex] \sf{v\approx 2786.2 in³} [/tex]

7x-9=803 solve for x and x only

Answers

Answer:

116

Step-by-step explanation:

7x-9=803

(add 9 to both sides)

7x=812

(divide by 7)

x=116

Which of the following do not represent a function of x?
F
G
H
J

Answers

Answer:

f,j

Step-by-step explanation:

Can someone please help me ??

Answers

Answer:

C

Step-by-step explanation:

The values are not vectors so ST/SR should be 3

what is (3x + 4)(5x − 2)

Answers

Answer:

15x² + 14x - 8

Step-by-step explanation:

Apply the distributive property by multiplying each term in (5x - 2) by each term in (3x + 4).

5x(3x) + (-2)(3x) + 5x(4) + (-2)(4)

= 15x² - 6x + 20x - 8

Combine like terms:

15x² + 14x - 8

(3x + 4)(5x − 2) is the factored form of 15x² + 14x - 8.

hope this helps!

15x^2+14x-8 is the answer to this problem

please help me this is timed!!


which point represents the unit rate?

a
b
c
d

Answers

Answer:

C, because it is one unit across

filler filler filler

If n is an even integer, which of the following is not necessarily even?
A.2n
B.n/2
C.3n
D. n^2
E.n^2/2​

Answers

Answer:

B

Step-by-step explanation:

imagine if n=2 so B equal to 1

it's for my friend............................................

Answers

Answer:

Ok get ready to get taken down by either Sarah, Katie, or Eric lol

Step-by-step explanation:

Ashley's ladder is 1.85 meters high. what is the height in centimeters, of Ashley's ladder

Answers

Answer:

185cm

Step-by-step explanation:

Answer:

185 cm

Fun Fact : my name is Ashley

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