Find the Slope and Y-Intercept (0,8) , (3,4)

Math
(0,8) , (3,4)
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=4-(8)3-(0)
Simplify.
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Simplify the numerator.
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Multiply -1 by 8.
m=4-83-(0)
Subtract 8 from 4.
m=-43-(0)
m=-43-(0)
Simplify the denominator.
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Multiply -1 by 0.
m=-43+0
Add 3 and 0.
m=-43
m=-43
Move the negative in front of the fraction.
m=-43
m=-43
m=-43
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=(-43)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-43)⋅(0)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
8=(-43)⋅(0)+b
Rewrite the equation as (-43)⋅(0)+b=8.
(-43)⋅(0)+b=8
Simplify (-43)⋅(0)+b.
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Multiply (-43)(0).
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Multiply 0 by -1.
0(43)+b=8
Multiply 0 by 43.
0+b=8
0+b=8
Add 0 and b.
b=8
b=8
b=8
The values of the slope and y-intercept are m=-43 and b=8.
m=-43
b=8
Find the Slope and Y-Intercept (0,8) , (3,4)

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