Answer:
y = 1/2x - 2
Explanation:
If an equation is paralell to another equation, that means the slopes are the same. To find the slope of -2x + 4y = 8, we must simplify and rearrange it.
-2x + 4y = 8
Add 2x on both sides
4y = 2x + 8
divide by 4 on both sides to isolate y
y = 1/2x + 2
Using this information, we know that the slope of the equation is 1/2.
So far, our equation is this:
y = 1/2x + b
We don't know what the y-intercept is, but we know that it intersects a point (2, -1). We can plug in the x and y values to find out what the b intercept is.
y = -1, x = 2
-1 = 1/2(2) + b
Simplify
-1 = 1 + b
Subtract 1 on both sides
-2 = b
The y-intercept is -2, so we can plug this back into our original equation.
Final answer: y = 1/2x - 2