### 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

#1:

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

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

Watch the Step by Step Video Solution View the Written Solution

#2:

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

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

Watch the Step by Step Video Solution View the Written Solution

#3:

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

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

Watch the Step by Step Video Solution View the Written Solution

#4:

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

a) 11x - y = -3

Watch the Step by Step Video Solution View the Written Solution

#5:

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

a) 10x + 7y = 49

Watch the Step by Step Video Solution View the Written Solution

Written Solutions:

#1:

Solutions:

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

Watch the Step by Step Video Solution

#2:

Solutions:

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

Watch the Step by Step Video Solution

#3:

Solutions:

a) $$m=-2$$

Watch the Step by Step Video Solution

#4:

Solutions:

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

Watch the Step by Step Video Solution

#5:

Solutions:

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