Question

Which of the following is the equation of a line parallel to the line y = 4x + 1,

passing through the point (5.1)?

Answer 1

y = 4x - 19

Explanation:

The line is parallel to the line whose equation is;

y = 4x + 1

Parallel lines have the same slope so the slope of our line is 4.

The line passes through point (5,1)

Slope = change in y ÷ change in x

Taking another point (x,y) on the line,

Slope =
`(y-1)/(x-5)` = 4

y - 1 = 4x - 20

y = 4x - 19