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

Question

Please help me ASAPP! Done in a couple of minutes :(

Answer 1

Since the line is parallel, the slope will still be -5.

Then substituting the coordinates of the given point for the new line using the same slope will give you the equation of the new line:

y = -5x + b

4 = -5 • 1 + b

4 = -5 + b

9 = b

The equation of the parallel line through the given point will be:

y = -5x + 9