# Find the Slope and Y-Intercept (-2,10) , (2,-10) (-2,10) , (2,-10)
Find the value of the slope.
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=-10-(10)2-(-2)
Simplify.
Reduce the expression by cancelling the common factors.
Cancel the common factor of -10-(10) and 2-(-2).
Rewrite -10 as -1(10).
m=-1⋅10-(10)2-(-2)
Factor -1 out of -1(10)-(10).
m=-1(10+10)2-(-2)
Reorder terms.
m=-1(10+10)2-2⋅-1
Factor 2 out of -1(10+10).
m=2(-1(5+5))2-2⋅-1
Cancel the common factors.
Factor 2 out of 2.
m=2(-1(5+5))2(1)-2⋅-1
Factor 2 out of -2⋅-1.
m=2(-1(5+5))2(1)+2(1)
Factor 2 out of 2(1)+2(–1).
m=2(-1(5+5))2(1+1)
Cancel the common factor.
m=2(-1(5+5))2(1+1)
Rewrite the expression.
m=-1(5+5)1+1
m=-1(5+5)1+1
m=-1(5+5)1+1
m=-1⋅101+1
m=-1⋅101+1
Simplify the denominator.
Multiply -1 by -1.
m=-1⋅101+1
m=-1⋅102
m=-1⋅102
Simplify the expression.
Multiply -1 by 10.
m=-102
Divide -10 by 2.
m=-5
m=-5
m=-5
m=-5
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-5)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-5)⋅(-2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
10=(-5)⋅(-2)+b
Rewrite the equation as (-5)⋅(-2)+b=10.
(-5)⋅(-2)+b=10
Multiply -5 by -2.
10+b=10
Move all terms not containing b to the right side of the equation.
Subtract 10 from both sides of the equation.
b=10-10
Subtract 10 from 10.
b=0
b=0
b=0
The values of the slope and y-intercept are m=-5 and b=0.
m=-5
b=0
Find the Slope and Y-Intercept (-2,10) , (2,-10)     