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
Finding the Slope of a Line 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:
Solution:
a) $$m = \frac{4}{7}$$
Solution:
a) $$m = \frac{31}{12}$$
Solution:
a) $$m = -2$$
Solution:
a) $$y = 11x + 3$$ $$m = 11$$
Solution:
a) $$y = -\frac{10}{7}x + 7$$ $$m = -\frac{10}{7}$$