Question

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

Answer 1

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]}