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

Answer:

y = -2x + 14

Step-by-step 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