Question

Write an equation of the line that passes through (1, 5) and is parallel to the line y=−4x+2.

Answer 1

Hey!

So since it says that it is parallel to the line we know that the slope of both the lines will be the same. By looking at the given equation we can tell that the slope of the line is -4. Using this and the point that we are given we can find the y-intercept.

y = mx + b

5 = -4(1) + b

5 = -5 + b

10 = b

Since we now have our y-intercept and our slope we can get our equation:

y = -4x + 10