Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change 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−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
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Answered by James