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

Answer 1

Eva Adamson

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#.

Write the equation again.

#y=1/4x-10#

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

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

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Answer 2

Abigail Allen

To find the slope and y-intercept for the line ( x - 4y = 40 ), rearrange the equation into slope-intercept form (( y = mx + b )).

First, solve for ( y ): [ x - 4y = 40 ] [ 4y = x - 40 ] [ y = \frac{1}{4}x - 10 ]

The slope (( m )) is ( \frac{1}{4} ) and the y-intercept (( b )) is -10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.