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Slope of a Line Test
About Finding 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

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)


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#2:


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


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


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#3:


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


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


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#4:


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


a) 11x - y = -3


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#5:


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


a) 10x + 7y = 49


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Written Solutions:




#1:


Solution:


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


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#2:


Solution:


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


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#3:


Solution:


a) $$m = -2$$


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#4:


Solution:


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


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#5:


Solution:


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


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