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)
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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:
Solutions:
a) $$m=\frac{4}{7}$$
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#2:
Solutions:
a) $$m=\frac{31}{12}$$
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#3:
Solutions:
a) $$m=-2$$
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#4:
Solutions:
a) $$y=11x + 3$$ $$m=11$$
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#5:
Solutions:
a) $$y=-\frac{10}{7}x + 7$$ $$m=-\frac{10}{7}$$