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Point Slope Form of Linear Equations

Authored by Anthony Clark

Mathematics

9th Grade

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Point Slope Form of Linear Equations
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a linear equation in point-slope form that has a slope of 12\frac{1}{2} and contains the point (2,6)\left(2,6\right) .

y−6=12(x−2)y-6=\frac{1}{2}\left(x-2\right)

y+6=12(x+2)y+6=\frac{1}{2}\left(x+2\right)

y−2=12(x−6)y-2=\frac{1}{2}\left(x-6\right)

y+2=12(x+6)y+2=\frac{1}{2}\left(x+6\right)

Tags

AI.9.2.B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a linear equation in point-slope form that has a slope of −3-3 and contains the point (−4,5)\left(-4,5\right) .

y−4=−3(x+5)y-4=-3\left(x+5\right)

y+4=−3(x+5)y+4=-3\left(x+5\right)

y−5=−3(x+4)y-5=-3\left(x+4\right)

y+5=−3(x−4)y+5=-3\left(x-4\right)

Tags

AI.9.2.B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a linear equation in point-slope form that has a slope of −65-\frac{6}{5} and contains the point (−5,−7)\left(-5,-7\right) .

y+5=−65(x+7)y+5=-\frac{6}{5}\left(x+7\right)

y+7=−65(x+5)y+7=-\frac{6}{5}\left(x+5\right)

y−5=−65(x−7)y-5=-\frac{6}{5}\left(x-7\right)

y−7=−65(x−5)y-7=-\frac{6}{5}\left(x-5\right)

Tags

AI.9.2.B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write a linear equation in point-slope form that has a slope of 23\frac{2}{3} and contains the point (−4,0)\left(-4,0\right) .

y−4=23xy-4=\frac{2}{3}x

y+4=23xy+4=\frac{2}{3}x

y=23(x−4)y=\frac{2}{3}\left(x-4\right)

y=23(x+4)y=\frac{2}{3}\left(x+4\right)

Tags

AI.9.2.B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

6.

LABELING QUESTION

1 min • 1 pt

y-y_1=m\left(x-x_1\right)

a
b
c

x-coordinate of point

y-coordinte of point

slope

7.

DROPDOWN QUESTION

1 min • 1 pt

Write the equation of the line IN POINT-SLOPE FORM that goes through the point (-2,-3) and has a slope of 5/2.

y -​ (a)   =​ (b)   (x -​ (c)   )

and the simplified equation is

y ​+ ​ (d)   =​ (same slope as above)(x + ​ (e)   )

-3

5/2

-2

3

2

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