Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Published on September 23, 2026

Algebra

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Question

Rewrite the following equation in slope-intercept form. y + 7 = 1 5 ( x + 10 ) Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

To rewrite the equation in slope-intercept form ( ), follow these steps:
  1. Distribute the on the right side of the equation:
  1. Subtract from both sides to isolate :
The equation in slope-intercept form is: