Find the Slope and Y-Intercept (0,7) , (0.5,-9)

Math
(0,7) , (0.5,-9)
Find the value of the slope.
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Slope is equal to the change in y over the change in x, or rise over run.
m=change in ychange in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2-y1x2-x1
Substitute in the values of x and y into the equation to find the slope.
m=-9-(7)0.5-(0)
Simplify.
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Simplify the numerator.
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Multiply -1 by 7.
m=-9-70.5-(0)
Subtract 7 from -9.
m=-160.5-(0)
m=-160.5-(0)
Simplify the denominator.
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Multiply -1 by 0.
m=-160.5+0
Add 0.5 and 0.
m=-160.5
m=-160.5
Divide -16 by 0.5.
m=-32
m=-32
m=-32
Find the value of the y-intercept.
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Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-32)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-32)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
7=(-32)⋅(0)+b
Rewrite the equation as (-32)⋅(0)+b=7.
(-32)⋅(0)+b=7
Simplify (-32)⋅(0)+b.
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Multiply -32 by 0.
0+b=7
Add 0 and b.
b=7
b=7
b=7
The values of the slope and y-intercept are m=-32 and b=7.
m=-32
b=7
Find the Slope and Y-Intercept (0,7) , (0.5,-9)

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