Find the Slope and Y-Intercept (-6,-1) , (0,-9)

Math
(-6,-1) , (0,-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-(-1)0-(-6)
Simplify.
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Simplify the numerator.
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Multiply -1 by -1.
m=-9+10-(-6)
Add -9 and 1.
m=-80-(-6)
m=-80-(-6)
Simplify the denominator.
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Multiply -1 by -6.
m=-80+6
Add 0 and 6.
m=-86
m=-86
Reduce the expression by cancelling the common factors.
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Cancel the common factor of -8 and 6.
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Factor 2 out of -8.
m=2(-4)6
Cancel the common factors.
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Factor 2 out of 6.
m=2⋅-42⋅3
Cancel the common factor.
m=2⋅-42⋅3
Rewrite the expression.
m=-43
m=-43
m=-43
Move the negative in front of the fraction.
m=-43
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)⋅(-6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-1=(-43)⋅(-6)+b
Rewrite the equation as (-43)⋅(-6)+b=-1.
(-43)⋅(-6)+b=-1
Simplify each term.
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Cancel the common factor of 3.
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Move the leading negative in -43 into the numerator.
-43⋅-6+b=-1
Factor 3 out of -6.
-43⋅(3(-2))+b=-1
Cancel the common factor.
-43⋅(3⋅-2)+b=-1
Rewrite the expression.
-4⋅-2+b=-1
-4⋅-2+b=-1
Multiply -4 by -2.
8+b=-1
8+b=-1
Move all terms not containing b to the right side of the equation.
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Subtract 8 from both sides of the equation.
b=-1-8
Subtract 8 from -1.
b=-9
b=-9
b=-9
The values of the slope and y-intercept are m=-43 and b=-9.
m=-43
b=-9
Find the Slope and Y-Intercept (-6,-1) , (0,-9)

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