Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(5,20);y=1/2x+8)

Answer 1

Two parallel lines have the same slope. The givenine has a slope of 1/2.

So, you are looking for the equation of a line with a slope = 1/2 that passes through P(5,20)

Using point slope form, this gives you

y-20 = 1/2(x-5)

If you want to put this in slope-intercept form, solve for y

multiply by 2 2y-40 = x - 5

add 40. 2y = x - 45

Divide by 2. y = 1/2 x - 45/2