Question

The line passes through ​(​8,-7​) and is parallel to the line whose equation is y=2x+2.

Answer 1

• y=2x+2

Compare to slope intercept form

• Slope=m=2

Parallel lines have slopes equal

Equation in point slope form

• y+7=2(x-8)
• y+7=2x-16
• y=2x-23

Answer 2

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

Comparing with slope intercept formula: y = m(x) + b

                                             where m is slope, b is y-intercept

Here slope: 2 as parallel line has same slope

Find equation:

y - y1 = m(x-x1)

y -(-7) = 2(x-8)

y + 7 = 2x - 16

y = 2x - 16 - 7

y = 2x -23

Given graph to confirm answer: