Question

Write an equation of the line that passes through (4,1) and is parallel to y=-2x+7

Answer 1

Answer:

It would be y= -2x+9

Answer 2

Answer:

y = -2x + 9

Step-by-step explanation:

Using the slope intercept equation y=mx+b, we can see that the slope of the line parallel to y = -2x + 7 is -2.

m = -2

Use the point slope formula y - y1 = m(x - x1) to find the line that runs through (4,1)

y - 1 = -2(x - 4)

Simplify

y - 1 = -2x + 8

y = -2x + 9

You can check your answer by putting in the point and seeing if the equaiton is true

1 = -2(4) + 9

1 = -8 + 9

1 = 1

True