Answer:
y= -1/2x+1
Step-by-step explanation:
First, you need to make the given equation into slope-intercept form, which is y=mx+b.
to do this, solve the equation for y:
x+2y= -4 (move the x to the right side of the equation by subtracting it from the left) 2y= -x-4 (divide all terms by 2 to get y alone) y= -1/2x-2. If we know it is parallel, it has the same slope as the given line equation.
Next, you use point-slope form to include the given point.
point-slope form is y-y(sub1) = m(x-(xsub1)). We already know the slope, -1/2, and the point to substitute in, (-8,5) so all you need to do is plug in the given values and solve for y again.
y-y1=m(x-x1) [point-slope form equation]
y-5= -1/2(x-(-8)) [substitute given values]
y-5= -1/2x -4 [apply distributive property]
y=-1/2x+1 [add 5 to both sides]
hope this helps!
