How do you find the slope and y-intercept given #8y-2x=5#?

1 Answer
Ernest Z.
Jul 11, 2015

The slope is #1/4# and the #y#-intercept is at (#0,5/8#).

Explanation:

First, you rearrange the equation into the "slope-intercept" form to get #y# by itself on the left hand side and all the other terms on the right hand side.

#8y – 2x = 5#

#8y = 2x + 5#

#y = 2/8x + 5/8#

#y = 1/4x + 5/8#

The "slope-intercept" form of a straight line equation is

#y = mx + b#,

where #m# is the slope and #b# is the #y#-intercept.

If we compare the two equations, we see that #m = 1/4# and #b = 5/8#.

So the slope is #1/4# and the #y#-intercept is at (#0,5/8#).

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