Step-by-step explanation:
First, let's turn the standard form equation into a slope-intercept form equation.
*(This is an easier method)
Slope-intercept form:
[tex]y = mx + b[/tex]
m = slope
m = slopeb = y-intercept
Switch each term:
[tex]2y = - 4x + 8[/tex]
-4 becomes a negative number since the y and slope have switched.
Divide each number by 2, to simplify y:
[tex]y = - 2x + 4[/tex]
Using the slope-intercept format, we can see 4 is in the position of the y-intercept.
Therefore, the y-intercept is 4.
