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

Apr 23, 2015

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

Subtract $2 x$ from both sides.

$- y = - 2 x + 4$

Multiply both sides by $- 1$.

$y = 2 x - 4$

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 $x = 0 , y = 2 \cdot 0 - 4 = 0 - 4 = - 4$

Point =$\left(0 , - 4\right)$

If $x = 4 , y = 2 \cdot 4 - 4 = 8 - 4 = 4$

Point=$\left(4 , 4\right)$

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