# Find the Slope and Y-Intercept (-3,6) , (2,4) (-3,6) , (2,4)
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=4-(6)2-(-3)
Simplify.
Simplify the numerator.
Multiply -1 by 6.
m=4-62-(-3)
Subtract 6 from 4.
m=-22-(-3)
m=-22-(-3)
Simplify the denominator.
Multiply -1 by -3.
m=-22+3
m=-25
m=-25
Move the negative in front of the fraction.
m=-25
m=-25
m=-25
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-25)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-25)⋅(-3)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
6=(-25)⋅(-3)+b
Rewrite the equation as (-25)⋅(-3)+b=6.
(-25)⋅(-3)+b=6
Multiply (-25)(-3).
Multiply -3 by -1.
3(25)+b=6
Combine 3 and 25.
3⋅25+b=6
Multiply 3 by 2.
65+b=6
65+b=6
Move all terms not containing b to the right side of the equation.
Subtract 65 from both sides of the equation.
b=6-65
To write 6 as a fraction with a common denominator, multiply by 55.
b=6⋅55-65
Combine 6 and 55.
b=6⋅55-65
Combine the numerators over the common denominator.
b=6⋅5-65
Simplify the numerator.
Multiply 6 by 5.
b=30-65
Subtract 6 from 30.
b=245
b=245
b=245
b=245
The values of the slope and y-intercept are m=-25 and b=245.
m=-25
b=245
Find the Slope and Y-Intercept (-3,6) , (2,4)     