Answer:
y-7 = 1/2(x-1) point slope form
y = 1/2x+13/2 slope intercept form
Step-by-step explanation:
y=-2x+9
This equation is in the form y= mx +b so the slope is -2
We want a line perpendicular
Take the negative reciprocal
m perpendicular is - (-1/2)
m perpendicular = 1/2
We have a slope of 1/2 and a point. We can use point slope form
y-y1 = m(x-x1)
y-7 = 1/2(x-1) point slope form
y-7 = 1/2x-1/2
Adding 7 to each side
y-7+7 =1/2x -1/2+7
y = 1/2x-1/2 +14/2
y = 1/2x +13/2 slope intercept form
