Free Printable Linear Equations and Slope

1.

Given the points $(2, 5)$ and $(6, 13)$ , what is the slope of the line passing through them?

a)

$2$

b)

$1$

c)

$4$

d)

$0.5$

2.

What is the equation of a line in slope-intercept form with a slope of $-3$ and a $y$ -intercept of $\left(0,\ 7\right)$ ?

a)

$y = 7x - 3$

b)

$y = -3x + 7$

c)

$y = 3x + 7$

d)

$y = -7x + 3$

3.

Rearrange the equation $2y - 4x = 8$ into slope-intercept form.

a)

$y = 2x + 4$

b)

$y = -2x + 4$

c)

$y = 2x - 4$

d)

$y = -2x - 4$

4.

Which of the following lines is parallel to $y = \frac{1}{2}x - 3$ and contains the point $\left(3,\ 5.5\right)$ ?

a)

$y=\frac{1}{2}x+5.5$

b)

$y = \frac{1}{2}x + 4$

c)

$y=-2x-3$

d)

$y=\frac{1}{2}x+9$

5.

Which equation represents a line perpendicular to $y = 4x + 1$ ?

a)

$x+4y=8$

b)

$y = 4x - 2$

c)

$-4x+y=2$

d)

$8=x-4y$

6.

What is the slope of the line represented by the equation $3x + 2y = 12$ ?

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

7.

Write the equation of the line in point-slope form that passes through $(4, -2)$ with a slope of $5$ .

a)

$y + 2 = 5(x - 4)$

b)

$y - 2 = 5(x + 4)$

c)

$y - 4 = 5(x + 2)$

d)

$y + 4 = 5(x + 2)$

8.

Given the equation $y = -\frac{2}{3}x + 5$ , what is the coordinate of the $y$ -intercept?

a)

$\left(0,\ -2\right)$

b)

$\left(0,\ -\frac{2}{3}\right)$

c)

$\left(0,\ 5\right)$

d)

$\left(0,\ -\frac{3}{2}\right)$

9.

Which of the following is the correct slope-intercept form for a line passing through $(0, 3)$ and $(6, 9)$ ?

a)

$y = x + 3$

b)

$y = x + 0$

c)

$y = x - 3$

d)

$y = 2x + 3$

10.

If a line has the equation $y = -2x + 4$ , what is the slope?

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

11.

Which of the following equations is perpendicular to $y = \frac{3}{4}x - 1$ and contains the point $\left(6,\ -6\right)$ ?

a)

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

b)

$y=\frac{4}{3}x-14$

c)

$y=-\frac{4}{3}x-14$

d)

$y=\frac{3}{4}x-10.5$

12.

What is the slope of a line parallel to $y = -5x + 7$ ?

a)

$5$

b)

$-5$

c)

$7$

d)

$-7$

13.

Write the equation of a line in point-slope form that passes through $(1, 6)$ and $(3, 10)$ .

a)

$y - 6 = 2(x - 1)$

b)

$y - 1 = 2(x - 6)$

c)

$y - 10 = 2(x - 3)$

d)

$y - 6 = 4(x - 1)$

14.

Which of the following is the correct rearrangement of $4x - y = 8$ into slope-intercept form?

a)

$y = 4x - 8$

b)

$y = -4x + 8$

c)

$y = 8x - 4$

d)

$y = -8x + 4$

15.

A line passes through $(0, -2)$ and has a slope of $3$ . What is its equation in slope-intercept form?

a)

$y = 3x - 2$

b)

$y = -2x + 3$

c)

$y = 2x + 3$

d)

$y = 3x + 2$

16.

Which of the following lines is parallel to $y = -\frac{1}{3}x + 4$ ?

a)

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

b)

$y = -\frac{1}{3}x - 5$

c)

$y = 3x + 1$

d)

$y = -3x + 1$

17.

Given the points $(5, 2)$ and $(9, 10)$ , what is the equation of the line in slope-intercept form?

a)

$y = 2x - 8$

b)

$y = 2x - 6$

c)

$y = 2x + 6$

d)

$y = x + 2$

18.

Which of the following is the correct point-slope form for a line with slope $-4$ passing through $(2, 7)$ ?

a)

$y-3=-4(x-3)$

b)

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

c)

$y - 2 = -4(x - 7)$

d)

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

19.

If a line has the equation $y = 0.5x - 3$ , what is the slope?

a)

$0.5$

b)

$-3$

c)

$3$

d)

$-0.5$

20.

Which of the following equations is perpendicular to $y = -2x + 5$ ?

a)

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

b)

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

c)

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

d)

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

21.

Write the equation of the line.

a)

$y=-x-3$

b)

$y=-3x-1$

c)

$y=-\frac{1}{3}x-1$

d)

$y=-3x-3$

22.

Which equation matches the graph?

a)

$y=2x$

b)

$y=\frac{1}{4}x+2$

c)

$y=x+4$

d)

$y=-2x$

23.

Write the equation for the line in slope-intercept form.

a)

$y=-1x+3$

b)

$y=4x+3$

c)

$y=\frac{1}{4}x+3$

d)

$y=-4x+3$

24.

In the equation $y=mx+b$ , what does the $m$ represent?

a)

slope

b)

$y$ -intercept

c)

linear

d)

point-slope

25.

Find the slope.

a)

$-\frac{5}{7}$

b)

$\frac{7}{5}$

c)

$-\frac{7}{5}$

d)

$\frac{5}{7}$

26.

What is the equation for this graph?

a)

$y=\frac{2}{3}x+3$

b)

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

c)

$y=\frac{2}{3}x-3$

d)

$y=-\frac{2}{3}x-3$

27.

What is the equation for this graph?

a)

$y=\frac{2}{3}x+3$

b)

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

c)

$y=\frac{2}{3}x-3$

d)

$y=-\frac{2}{3}x-3$

28.

What is the equation for this graph?

a)

$y=\frac{2}{3}x+3$

b)

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

c)

$y=\frac{2}{3}x-3$

d)

$y=-\frac{2}{3}x-3$

29.

What is the equation for this graph?

a)

$y=\frac{4}{3}x+1$

b)

$y=-\frac{4}{3}x+1$

c)

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

d)

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

30.

Write the equation of the line with slope $-2$ through the point $\left(7,\ -1\right)$ .

a)

$y=−2x+15$

b)

$y=−2x−15$

c)

$y=−2x+13$

d)

$y=−2x−13$

31.

Write the equation of the line in slope-intercept form through $(-5,\ -4)$ and $\left(0,\ 5\right)$ .

a)

$y=-\frac{9}{5}x+5$

b)

$y=\frac{9}{5}x+5$

c)

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

d)

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

32.

Write the equation of the line in slope-intercept form through $(-3,\ -5)$ and $(-1,\ 3)$ .

a)

$y=3x+4$

b)

$y=7x+4$

c)

$y=4x+7$

d)

$y=-3x+4$

33.

What type of line has an undefined slope?

a)

vertical

b)

horizontal

c)

neither

34.

What type of line has a slope of 0?

a)

vertical

b)

horizontal

c)

neither

35.

Rewrite $2x+2y=6$ in slope-intercept form.

a)

$y=-x+3$

b)

$y=x+3$

c)

$y=2x+6$

d)

$y=-2x+6$

36.

Which line has a negative slope?

a)

Yellow

b)

Red

c)

Blue

d)

Green

Linear Equations and Slope

Total questions: 36

Worksheet time: 9hrs 0mins

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