# Find the Slope and Y-Intercept (6,1) , (4,3) (6,1) , (4,3)
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=3-(1)4-(6)
Simplify.
Simplify the numerator.
Multiply -1 by 1.
m=3-14-(6)
Subtract 1 from 3.
m=24-(6)
m=24-(6)
Simplify the denominator.
Multiply -1 by 6.
m=24-6
Subtract 6 from 4.
m=2-2
m=2-2
Divide 2 by -2.
m=-1
m=-1
m=-1
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-1)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-1)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
1=(-1)⋅(6)+b
Rewrite the equation as (-1)⋅(6)+b=1.
(-1)⋅(6)+b=1
Multiply -1 by 6.
-6+b=1
Move all terms not containing b to the right side of the equation.
Add 6 to both sides of the equation.
b=1+6
b=7
b=7
b=7
The values of the slope and y-intercept are m=-1 and b=7.
m=-1
b=7
Find the Slope and Y-Intercept (6,1) , (4,3)     