Rewrite the equation y - 8 = 2(x + 4) into slope-intercept form (y = mx + b).

Mathematics · Middle School · Wed Jan 13 2021

Answered on

Given the equation:

y - 8 = 2(x + 4)

Rewrite the equation in slope-intercept form.

Solution:

In order to write the equation in slope-intercept form, we start first by distributing 2 to each value inside the parenthesis, and then transposing -8 to the opposite side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

y - 8 = 2(x + 4)

y - 8 = 2x + 8

y = 2x + 8 + 8

y = 2x + 16

Final answer:

y = 2x + 16