Question

Which of the following is an equation of a line parallel to the equaticy = 4x+12O A. y=-x-2y4O B. y = -4x – 2O c. y = 4x-2O O D. y=-x-2

Answer 1

Given

The equation of the line is,

$y=4x+1$

To find the equation of the line parallel to y=4x+1.

Explanation:

It is given that,

The equation of the line is,

$y=4x+1$

Since two parallel lines have same slope.

Then,

The slope of the line parallel to y=4x+1 is, 4.

Therefore, the equation of the line parallel to y=4x+1 is of the form,

$y=4x+k$

Hence, the equation of the line parallel to y=4x+1 is c) y=4x-2.