Question

what is the equation of the line that is parallel to the given line and passes through the point (–2, 2)? y = x 4 y = x y = –5x 4 y = –5x

Answer 1

There is no given line so please check the description for each answer

a. y - 2 = x + 2

b. 4y = x + 10

c. y = -5x - 8

d. 4y = 5x + 18

Explanation:

For:

a. y = x so slope is 1

b. 4y = x => y = 1/4x so slope is 1/4

c. y = –5x so slope is -5

d. 4y = –5x => y = -5/4x so slope is -5/4

The slope of a parallel line is equal to the slope of the given line.

So equation of parallel lines to these given lines given equation

y - y1 = m(x - x1)

For

a. y -2 = x - -2 => y - 2 = x + 2

b. y - 2 = 1/4(x + 2) => 4y - 8 = x + 2 => 4y = x + 10

c. y - 2 = -5(x + 2) => y - 2 = -5x - 10 => y = -5x - 8

d. y - 2 = -5/4(x + 2) => -4y + 8 = -5x - 10 => 4y = 5x + 10 + 8 => 4y = 5x + 18