About Slope of a Line:

The slope of a line can be thought of as the steepness of the line, or how quickly the line rises or falls. To find the slope of a line, we can take any two points on the line and plug into the slope formula. Alternatively, we can solve the equation for y. In this format, known as slope-intercept form, the slope is given as the coefficient of x.


Test Objectives
  • Demonstrate a general understanding of slope
  • Demonstrate the ability to find the slope of a line using the slope formula
  • Demonstrate the ability to find the slope of a line by placing the equation in slope-intercept form
Slope of a Line Practice Test:

#1:

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

$$a)\hspace{.2em}(-2,-5), (5,3)$$

$$b)\hspace{.2em}(0,3), (3,-3)$$


#2:

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

$$a)\hspace{.2em}(5,2), (-1,5)$$

$$b)\hspace{.2em}(-2,3), (5,-2)$$


#3:

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

$$a)\hspace{.2em}(-5,0), (0,3)$$

$$b)\hspace{.2em}(0,-3), (-1,4)$$


#4:

Instructions: find the slope from slope-intercept form.

$$a)\hspace{.2em}2x - y=-3$$

$$b)\hspace{.2em}5x + 2y=-10$$


#5:

Instructions: find the slope from the graph.

a)

graph of y=-4x + 4

b)

graph of y=-1/2 x + 5
Written Solutions:

#1:

Solutions:

$$a)\hspace{.2em}m=\frac{8}{7}$$

$$b)\hspace{.2em}m=-2$$


#2:

Solutions:

$$a)\hspace{.2em}m=-\frac{1}{2}$$

$$b)\hspace{.2em}m=-\frac{5}{7}$$


#3:

Solutions:

$$a)\hspace{.2em}m=\frac{3}{5}$$

$$b)\hspace{.2em}m=-7$$


#4:

Solutions:

$$a)\hspace{.2em}y=2x + 3, m=2$$

$$b)\hspace{.2em}y=-\frac{5}{2}x - 5, m=-\frac{5}{2}$$


#5:

Solutions:

$$a)\hspace{.2em}m=-4$$

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