Question

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

Answer 1

y = -2x + 9

Explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

-2 =
`(y - 1)/(x - 4)`

Cross multiplying gives;

y - 1 = -2x + 8

y = -2x + 9