How do you find the slope and y-intercept for the line #x - 4y = 40#?

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Answer 1 · 2015-09-23T04:30:39

The slope is #1/4#, and the y-intercept is #-10#.

Solve the equation for #y#.

#x-4y=40#

Subtract #x# from both sides of the equation.

#-4y=40-x#

Divide both sides by #-4#.

#y=40/(-4)-x/(-4)=#

#y=-10+x/4#

#x/4=1/4x#.

Rewrite the equation.

#y=1/4x-10#

The slope is #1/4#, and the y-intercept is #-10#.

graph{y=1/4x-10 [-11.34, 8.66, -13.79, -3.79]}