Question

Suppose the equation of a line is 2x − 4y = − 8. Which coordinate pair represents the y-intercept?

Answer 1

(0,2)

Explanation:

Convert the equation to y=mx+b.

You get y=1/2+2.

Since x is always 0 in your y-intercept and the y value is equal to b, you get (0,2) as your coordinate pair.

Answer 2

(0,2)

Explanation:

Given equation is :

2x-4y=-8

y=mx+b is slope-intercept form of equation of a line where m denotes slope and b denotes y-intercept.

We have to transform given equation into slope intercept form.

2x-4y=-8

Adding -2x to both sides of above equation,we get

-2x+2x-4y=-2x-8

0-4y=-2x-8

-4y=-2x-8

Dividing by -4 to both sides of above equation,we get

-4y / -4=(-2x-8) / -4

y= 1/2x+2 is slope intercept form of given equation where slope is 1/2 and y-intercept is 2.

y-intercept is a point where x is zero.

Hence ,(0,2) represents the y-intercept of given equation.