Free Printable Chapter 4.2 Point-Slope Form

1.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

2.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

3.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

4.

For the equation

y + 1 = −3(x - 5),

the line contains the point (5, −1), but what is the slope?

a)

−1

b)

3

c)

−3

d)

5

5.

For the equation

y + 3 = -4(x - 2),

which of the following is true?

a)

The line has m = −4 passing through the point (2, -3)

b)

The line has m = 4 passing through the point (3, −2)

c)

The line has m = 3 passing through the point (-4, -2)

d)

The line has m = −4 passing through the point (−3, 2)

6.

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

7.

Write an equation
m = 1/3 through (4, 4)

a)

$y+4=\frac{1}{3}\left(y-4\right)$

b)

$y+4=-\frac{1}{3}\left(x+4\right)$

c)

$y-4=-\frac{1}{3}\left(x-4\right)$

d)

$y-4=\frac{1}{3}\left(x-4\right)$

8.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

9.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

10.

Which point-slope equation matches the graph?

a)

$y-1=-\frac{1}{2}\left(x+1\right)$

b)

$y+1=-\frac{1}{2}\left(x-1\right)$

c)

$y-1=-2\left(x+1\right)$

d)

$y+1=-2\left(x-1\right)$

Chapter 4.2 Point-Slope Form

Total questions: 10

Worksheet time: 46mins

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