Question

Which of the following is the y-intercept of:

Answer 1

Answer:

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

Step-by-step explanation:

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

$2\,y=x-8\\y=\frac{x-8}{2} \\y=\frac{x}{2} -\frac{8}{2} \\y=\frac{x}{2} -4$

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

$y=\frac{x}{2} -4\\y=\frac{0}{2} -4\\y=-4$

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

Answer 2

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

Hope this helps.