How do you find the slope and intercept of #4y-8x=3#?

1 Answer
Meave60
Jan 16, 2016

The slope is #2#, and the y-intercept is #3/4#.

Explanation:

Solve for #y#. This will convert the equation to the slope-intercept form of a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#4y-8x=3#

Add #8x# to both sides.

#4y=8x+3#

Divide both sides by #4#.

#y=(8x)/4+3/4#

Simplify.

#y=2x+3/4#

The slope, #m#, is #2#, and the y-intercept, #b#, is #3/4#.

graph{y=2x+3/4 [-10, 10, -5, 5]}

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