About The 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
The Slope of a Line Practice Test:

#1:

Instructions: Use the given points to find the slope of each line using slope formula.

a) (10,20) and (-11,8)


#2:

Instructions: Use the given points to find the slope of each line using slope formula.

a) (-4,16) and (-16,-15)


#3:

Instructions: Use the given points to find the slope of each line using slope formula.

a) (3,16) and (18,-14)


#4:

Instructions: Find the slope of each line by placing the equation in slope-intercept form.

a) 11x - y = -3


#5:

Instructions: Find the slope of each line by placing the equation in slope-intercept form.

a) 10x + 7y = 49


Written Solutions:

#1:

Solutions:

a) $$m = \frac{4}{7}$$


#2:

Solutions:

a) $$m = \frac{31}{12}$$


#3:

Solutions:

a) $$m = -2$$


#4:

Solutions:

a) $$y = 11x + 3$$ $$m = 11$$


#5:

Solutions:

a) $$y = -\frac{10}{7}x + 7$$ $$m = -\frac{10}{7}$$