About Slope Formula:
The slope of a line is a measure of its steepness. We calculate the slope of a line by comparing the change in y values (vertical change) to the change in x values (horizontal change) while moving along our line from one point to another.
Test Objectives
- Demonstrate an understanding of the slope formula
- Demonstrate the ability to calculate slope using the slope formula
- Demonstrate the ability to calculate slope from the graph of the line
#1:
Instructions: Find the slope of the line that passes through the given points.
$$a) \hspace{.1em}(-5,14), (5,20)$$
$$b) \hspace{.1em}(7,4), (-3,4)$$
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#2:
Instructions: Find the slope of the line that passes through the given points.
$$a) \hspace{.1em}(-6,-10), (0,-18)$$
$$b) \hspace{.1em}(6,11), (9,8)$$
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#3:
Instructions: Find the value of y.
$$a) \hspace{.1em}(-3,-2), (-2,y), m=7$$
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#4:
Instructions: Find the value of x.
$$a) \hspace{.1em}(x,1), (-1,-3), m=\frac{4}{5}$$
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#5:
Instructions: Find the slope of the line from the graph.
a) 
b) 
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Written Solutions:
#1:
Solutions:
$$a) \hspace{.1em}m=\frac{3}{5}$$
$$b) \hspace{.1em}m=0$$
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#2:
Solutions:
$$a) \hspace{.1em}m=-\frac{4}{3}$$
$$b) \hspace{.1em}m=-1$$
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#3:
Solutions:
$$a) \hspace{.1em}y=5$$
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#4:
Solutions:
$$a) \hspace{.1em}x=4$$
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#5:
Solutions:
$$a) \hspace{.1em}m=-4$$
$$b) \hspace{.1em}m=\frac{5}{2}$$
