Question

Hey y'all I need help with a geometry problem, I'd appreciate the help :)

Answer 1

Parallel lines all have the same slope. So you have the same number in front of the x as you do on the given equation.

This is what you know so far

y = 1/2 x + _____

Now you use the point to determine what _____ is.

The general equation for a line is y = mx + b. We know that m = 1/2. We need the point to solve for b

x = 4   ; y = 5 Substitute these values into the general equation.

5 = 1/2(4) + b   Combine 1/2 and 4

5 = 2 + b         Subtract 2 from both sides.

5 - 2 = b

b = 3

So the answer is y = 1/2 x + 3