Question

Find the equation of the line that is parallel to the line y (5,4) -2x +3 and passes through the point (5,4).

Answer 1

y = -2x + 14

Explanation:

Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...

y = -2x + b

We are given a point (x, y) of (5, 4), so plug that in and solve for b.

4 = -2(5) + b

4 = -10 + b (simplify)

14 = b (add 10 to both sides to isolate b)

So the equation of our line is y = -2x + 14