Question

Write an equation that is parallel to the line y = x-5 and

passes through the point (1, -2)
Select one:
a: y = -3x + 1
b.y = 3x + 1
c. y = x + 1
d. y = x-3

Answer 1

D. y = x - 3

Explanation:

A parallel line will have the same slope, so the line will also have a slope of 1.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

-2 = 1(1) + b

-2 = 1 + b

-3 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = x - 3

So, the equation is D. y = x - 3