Free Printable Point Slope Form

1.

Write the equation in point-slope form of the line that passes through the point (4, -7) and has the slope m = -1/4

a)

$y+7=-\frac{1}{4}(x-4)$

b)

$y-4=-\frac{1}{4}(x+7)$

c)

$y+4=\frac{4}{7}(x-1)$

d)

$y-7=-\frac{1}{4}(x-4)$

e)

$y+1=-\frac{4}{7}(x-4)$

2.

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 + 5

c)

y + 5= -3(x + 10)

d)

y= -3x - 5

e)

y-10 = 3(x-5)

3.

y + 1 = -3 (x - 5)

What's the slope of this line?

a)

-1

b)

1

c)

-3

d)

5

e)

3

4.

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

d)

y = x²

e)

y = #

5.

y - 3 = 2(x + 4)

What point is on this line?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

e)

(2, 4)

6.

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

e)

y + 3 = 0 (x - 2)

7.

$y-4=-\frac{1}{3}(x-7)$

What point is on this line?

a)

(4, 7)

b)

(-1, - 3)

c)

(7, 4)

d)

(-4, -7)

e)

(-1, 3)

8.

Write the linear equation in point-slope form that contains the point (-2, 1) and has a slope of -3

a)

y + 1 = -3(x - 2)

b)

y - 1 = -3(x + 2)

c)

y + 2 = 3(x - 1)

d)

y + 2 = -3(x + 1)

e)

y - 1 = -2 (x+3)

9.

What is the point slope form equation through the point (4, -8) with a slope of -2?

a)

$y-4\ =\ -2\left(x-8\right)$

b)

$y+4\ =\ -2\left(x+8\right)$

c)

$y+8=-2\left(x-4\right)$

d)

$y-8=4\left(x+2\right)$

e)

$y-2=-4\left(x+8\right)$

10.

What is the slope of the following equation?

y-4=-\left(x+2\right)

a)

1

b)

-1

c)

2

d)

-4

e)

0

11.

$y+8=3\left(x+5\right)$

What point is on this line?

a)

(5, -8)

b)

(-8, 5)

c)

(3, 8)

d)

(-5, -8)

e)

(3, -5)

12.

$y+3=-4\left(x-9\right)$

What point is on this line?

a)

(-9, 3)

b)

(-9, -3)

c)

(3, -9)

d)

(9, -3)

e)

(3, -4)

13.

Select all the equations

that match this table

a)

$y-5=5\left(x-1\right)$

b)

$y-20=5\left(x-4\right)$

c)

$y+15=-5\left(x+3\right)$

d)

$y+10=\frac{1}{5}\left(x+2\right)$

e)

$y-5=5\left(x-25\right)$

14.

Select all the equations

that match this table

a)

$y-3=-3\left(x-5\right)$

b)

$y-12=-3\left(x-2\right)$

c)

$y+4=-3\left(x+6\right)$

d)

$y-6=3\left(x-4\right)$

e)

$y+3=3\left(x+9\right)$

15.

Select all the equations

that match this table

a)

$y-8=-1\left(x+3\right)$

b)

$y-6=-\left(x+1\right)$

c)

$y+8=-2\left(x-3\right)$

d)

$y+6=-1\left(x-1\right)$

e)

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

16.

Select all the equations

that match this table

a)

$y-8=\frac{3}{4}\left(x+5\right)$

b)

$y-14=\frac{3}{4}\left(x-3\right)$

c)

$y+5=\frac{4}{3}\left(x-8\right)$

d)

$y+1=-\frac{3}{4}\left(x-11\right)$

e)

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

17.

Write the equation in point-slope form

for the line that contains the points

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

a)

$y-5=\frac{1}{2}(x+3)$

b)

y + 5 = 2 (x - 3)

c)

$y-1=-\frac{1}{2}\ (x+5)$

d)

y + 3 = 2(x - 5)

e)

y + 1 = -2 (x - 5)

18.

For the equation

y - 3 = 2 (x + 4)

Select all that is true

a)

The line has a slope of m = 2

b)

Contains the point (3, -4)

c)

Contains the point (-4, 3)

d)

Contains the point (-3, 4)

e)

Contains the point (4, -3)

19.

Which equation makes this graph?

a)

$y+3=\frac{1}{2}(x-1)$

b)

$y+2=-\frac{1}{3}(x+1)$

c)

$y+4\ =\ -\frac{1}{2}\left(x-1\right)$

d)

$y+3=2\ (x-1)$

e)

$y+4=-2\ (x+1)$

20.

What is the equation of the line in

point slope form?

a)

y - 12 = ½ (x - 6)

b)

y - 4 = 2 (x - 8)

c)

y + 2 = 2 (x + 4)

d)

y - 8 = ½ (x - 16)

e)

y + 8 = ½ (x + 16)

21.

Select all the equations that make this graph

a)

$y-0=\frac{1}{2}(x+2)$

b)

$y-1=\frac{1}{2}(x-0)$

c)

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

d)

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

e)

$y-0=\frac{1}{2}(x-1)$

22.

Which equation makes this line

a)

$y+4=-1\left(x-2\right)$

b)

$y-4=-1\left(x-0\right)$

c)

$y-0=1\left(x+3\right)$

d)

$y+2=-1\left(x-4\right)$

e)

$y-3=-1\left(x+5\right)$

23.

For the equation

y+5=\frac{1}{4}(x-2)

Select all that is true

a)

The line has a slope of $\frac{1}{4}$

b)

The line contains the point (1, 4)

c)

The line contains the point (2, -5)

d)

The line contains the point (-5, 2)

e)

The line has a slope of $-\frac{2}{5}$

24.

Select all the equations that make this graph

a)

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

b)

$y-1=\frac{1}{2}x$

c)

$y+2=\frac{1}{2}x$

d)

$y-2=(x-2)$

e)

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

25.

Which equation makes this line

a)

$y+5=-1\left(x+3\right)$

b)

$y=-1\left(x-4\right)$

c)

$y+3=-1\left(x-3\right)$

d)

$y-4=-\left(x+2\right)$

e)

$y-2=-\left(x-3\right)$

26.

Which equation makes this graph?

a)

$y+2=\frac{1}{2}(x-3)$

b)

$y+5=\frac{1}{2}(x+3)$

c)

$y-4\ =\ -\frac{1}{2}\left(x-1\right)$

d)

$y-3=\frac{1}{2}\ (x+1)$

e)

$y+1=-\frac{1}{2}\ (x-3)$

27.

$y=\frac{2}{3}(x-4)$

What point is on this line?

a)

(4, 0)

b)

(0, 4)

c)

(1, 4)

d)

(-4, 1)

e)

(2, 3)

28.

$y+6=\frac{4}{3}x$

What point is on this line?

a)

(6, 0)

b)

(0, -6)

c)

(1, 6)

d)

(-6, 1)

e)

(4, 3)

29.

$y-3=5x$

What point is on this line?

a)

(3, 5)

b)

(0, 3)

c)

(-3, 5)

d)

(-5, 3)

e)

(5, -3)

30.

$y=7(x+2)$

What point is on this line?

a)

(-2, 0)

b)

(0, -2)

c)

(7, 2)

d)

(7, -2)

e)

(-2, 7)

31.

$y+3=(x-7)$

What is the slope of this line?

a)

1

b)

$-\frac{3}{7}$

c)

0

d)

7

e)

-3

32.

$y-4=-(x+9)$

What is the slope of this line?

a)

-1

b)

$-\frac{4}{9}$

c)

0

d)

-9

e)

4

33.

Select all the equations written in

point slope form

a)

$y-1=3\left(x+2\right)$

b)

$y+4=\frac{4}{5}\left(x+1\right)$

c)

$y=7x-3$

d)

$2y+3x=-6$

e)

$y=5+\frac{1}{2}x$

34.

Select all the equations written in

point slope form

a)

$y=-5\left(x+2\right)$

b)

$y-6=\frac{3}{4}x$

c)

$y=8-\frac{1}{5}x$

d)

$2y-x=10$

e)

$3x+4y=12$

35.

Select all the information that

point slope form will always tell you about a line

a)

A point that is on the line

b)

The Slope

c)

The y-intercept

d)

The x-intercept

e)

A point that is NOT on the line

36.

Select all the equations in point-slope form

for the line that contains the points

(-14, 5) and (-4, -10)

a)

$y-5=-\frac{3}{2}(x+14)$

b)

$y+10=-\frac{3}{2}(x+4)$

c)

$y+5=-\frac{3}{2}(x-14)$

d)

$y-10=-\frac{3}{2}(x-4)$

e)

$y-3=-\frac{5}{14}(x+2)$

37.

Select all the equations in point-slope form

for the line that contains the points

(11, 12) and (5, -12)

a)

$y-12=4(x-11)$

b)

$y+12=4(x-5)$

c)

$y-11=4(x-12)$

d)

$y-5=4(x+12)$

e)

$y-5=4(x-11)$

38.

Select all the correct ways to calculate the slope

a)

$\frac{\Delta y}{\Delta x}$

b)

$\frac{\Delta x}{\Delta y}$

c)

$\frac{Rise}{Run}$

d)

$\frac{Run}{Rise}$

e)

$\left(x_1\ ,\ y_1\right)$

39.

Which is the slope formula?

a)

$\frac{y_2-y_1}{x_2-x_1}$

b)

$\frac{y_2+y_1}{x_2+x_1}$

c)

$\frac{y_2-y_1}{x_1-x_2}$

d)

$\frac{x_2-x_1}{y_2-y_1}$

e)

$\frac{x_2-x_1}{y_1-y_2}$

40.

What happens when you see 2 minus signs right next to each other?

$3--\ 7$

a)

It turns into 3 + 7

b)

Nothing

c)

It turns into 3 - 7

d)

It turns into - 3 - 7

e)

It turns into $3\ \cdot\ 7$

Point Slope Form

Total questions: 40

Worksheet time: 3hrs 15mins

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