Answer: 8 units
Step-by-step explanation:
First, we must find the y-intercepts. To do this, we will transform both equations into slope-intercept form.
2x + 3y = -12
3y = 2x - 12
y = [tex]\frac{2}{3}[/tex]x - 4
5x + 2y = 8
2y = 5x + 8
y = [tex]\frac{5}{2}[/tex]x + 4
These equations have y-intercepts of positive 4 and negative four. Since they are both on the y-axis as y-intercepts, we can find the distance between these two points with the following equation. Let x be equal to the distance between them.
|4| + |-4| = x
4 + 4 = x
x = 8
I have also graphed the two equations, see attached.
