Question

Which of the following is the y-intercept of:

2 y = x-8 ?
(0.4)
(-4.0)
(4,0)
(0,4)

PLZ HELP I NEED THE ANSWER QUICK

Answer 1

`(0,-4)` fits the linear equation perfectly.

Hope this helps.

Answer 2

the y-intercept is the point (0, -4) on the plane

Explanation:

In order to find the y-intercept, write the equation in "slope intercept form" solving for "y":

`2\,y=x-8\\y=(x-8)/(2) \\y=(x)/(2) -(8)/(2) \\y=(x)/(2) -4`

Recall now that the y-intercept is the value at which the line crosses the y-axis (when x = 0), therefore:

`y=(x)/(2) -4\\y=(0)/(2) -4\\y=-4`

So the y-intercept is the point (0, -4) on the plane.