# Find the Slope and Y-Intercept (-4,-3) , (-1,-8)

(-4,-3) , (-1,-8)
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=-8-(-3)-1-(-4)
Simplify.
Simplify the numerator.
Multiply -1 by -3.
m=-8+3-1-(-4)
m=-5-1-(-4)
m=-5-1-(-4)
Simplify the denominator.
Multiply -1 by -4.
m=-5-1+4
m=-53
m=-53
Move the negative in front of the fraction.
m=-53
m=-53
m=-53
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-53)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-53)⋅(-4)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-3=(-53)⋅(-4)+b
Rewrite the equation as (-53)⋅(-4)+b=-3.
(-53)⋅(-4)+b=-3
Multiply (-53)(-4).
Multiply -4 by -1.
4(53)+b=-3
Combine 4 and 53.
4⋅53+b=-3
Multiply 4 by 5.
203+b=-3
203+b=-3
Move all terms not containing b to the right side of the equation.
Subtract 203 from both sides of the equation.
b=-3-203
To write -3 as a fraction with a common denominator, multiply by 33.
b=-3⋅33-203
Combine -3 and 33.
b=-3⋅33-203
Combine the numerators over the common denominator.
b=-3⋅3-203
Simplify the numerator.
Multiply -3 by 3.
b=-9-203
Subtract 20 from -9.
b=-293
b=-293
Move the negative in front of the fraction.
b=-293
b=-293
b=-293
The values of the slope and y-intercept are m=-53 and b=-293.
m=-53
b=-293
Find the Slope and Y-Intercept (-4,-3) , (-1,-8)