How do you solve for the y-intercept in #2x-y=4#?

1 Answer
Meave60
Apr 23, 2015

An equation in slope-intercept form allows easy identification of the y-intercept. #y=mx+b#, where #m# is the slope and #b# is the y-intercept. To convert the given equation to slope-intercept form, solve the given equation, #2x-y=4#, for #y#.

Subtract #2x# from both sides.

#-y= -2x+4#

Multiply both sides by #-1#.

#y=2x-4#

The slope, #m#, of this equation is #2#, and the y-intercept, #b#, is#-4#.

To graph this equation, determine two points on the line.

If #x=0, y=2*0-4=0-4=-4#

Point =#(0,-4)#

If #x=4, y=2*4-4=8-4=4#

Point=#(4,4)#

Plot the points and draw a straight line through the points.
graph{y=2x-4 [-13.22, 14.12, -8.66, 5]}

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