Question

Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16)

A. y = x + 14
B. y = x – 6
C. y = x + 6
D. y = x

Answer 1

The answer is A. y = x + 14

Answer 2

y = x + 8...slope here is 1. A parallel line will have the same slope.

y = mx + b
slope(m) = 1
(2,16)...x = 2 and y = 16
now we sub and find b, the y int
16 = 1(2) + b
16 = 2 + b
16 - 2 = b
14 = b

so ur parallel equation is : y = x + 14