How do you find the slope and y-intercept of 2y = 8x − 3?

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Answer 1 · 2017-02-11T03:01:55

See the solution process below:

The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

We need to solve for #y# to obtain the slope intercept form by dividing each side of the equation by #color(red)(2)#

#(2y)/color(red)(2) = (8x - 3)/color(red)(2)#

#(color(red)(cancel(color(black)(2)))y)/cancel(color(red)(2)) = (8x)/color(red)(2) - 3/color(red)(2)#

#y = color(red)(4)x - color(blue)(3/2)#

Therefore:

The slope is #color(red)(m = 4)#

The y-intercept is #color(blue)(b = -3/2)# or (0, #color(blue)(-3/2)#)