Question

What is the y intercept of the standard form of the linear equation 2y + 4x = 8

Answer 1

the y-intercept is 4

Explanation: 2y+4x=8
1. Subtract 4x from both sides, 2y= -4x+8
2. Isolate the y by dividing both sides of the equation by 2, y=-2x+4
3. y-intercept is 4

Answer 2

Explanation:

First, let's turn the standard form equation into a slope-intercept form equation.

*(This is an easier method)

Slope-intercept form:

`y = mx + b`

m = slope

m = slopeb = y-intercept

Switch each term:

`2y = - 4x + 8`

-4 becomes a negative number since the y and slope have switched.

Divide each number by 2, to simplify y:

`y = - 2x + 4`

Using the slope-intercept format, we can see 4 is in the position of the y-intercept.

Therefore, the y-intercept is 4.