Answer:
y = 1/2x - 4
Step-by-step explanation:
The x-intercept is when y = 0, so it would be:
-x + 2 * 0 = 4
-x = 4
x = -4
That means the x-intercept is (0, -4)
The parallel line would have the same slope as this one, so:
[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]
The parallel line has a slope of 1/2
So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)
Put it in point slope form:
y - (-4) = 1/2(x - 0)
y + 4 = 1/2x
y = 1/2x - 4
