The slope of a line is a measure of its steepness. We calculate the slope of a line by comparing the change in y values (vertical change) to the change in x values (horizontal change) while moving along our line from one point to another.

Test Objectives
• Demonstrate an understanding of the slope formula
• Demonstrate the ability to calculate slope using the slope formula
• Demonstrate the ability to calculate slope from the graph of the line
Slope Formula Practice Test:

#1:

Instructions: Find the slope of the line that passes through the given points.

$$a) \hspace{.1em}(-5,14), (5,20)$$

$$b) \hspace{.1em}(7,4), (-3,4)$$

#2:

Instructions: Find the slope of the line that passes through the given points.

$$a) \hspace{.1em}(-6,-10), (0,-18)$$

$$b) \hspace{.1em}(6,11), (9,8)$$

#3:

Instructions: Find the value of y.

$$a) \hspace{.1em}(-3,-2), (-2,y), m=7$$

#4:

Instructions: Find the value of x.

$$a) \hspace{.1em}(x,1), (-1,-3), m=\frac{4}{5}$$

#5:

Instructions: Find the slope of the line from the graph.

a)

b)

Written Solutions:

#1:

Solutions:

$$a) \hspace{.1em}m=\frac{3}{5}$$

$$b) \hspace{.1em}m=0$$

#2:

Solutions:

$$a) \hspace{.1em}m=-\frac{4}{3}$$

$$b) \hspace{.1em}m=-1$$

#3:

Solutions:

$$a) \hspace{.1em}y=5$$

#4:

Solutions:

$$a) \hspace{.1em}x=4$$

#5:

Solutions:

$$a) \hspace{.1em}m=-4$$

$$b) \hspace{.1em}m=\frac{5}{2}$$