What is the slope-intercept form of 3x+5y=1?

2 Answers
Mar 28, 2018

3x+5y=1 in slope-intercept form is y=35x+15.

Explanation:

A linear equation in slope intercept form is: y=mx+b. The given equation is in standard form, Ax+Bx=C. To convert from the standard from to the slope-intercept form, solve the standard form for y.

3x+5y=1

Subtract 3x from both sides.

5y=3x+1

Divide both sides by 5.

y=35x+15

The graph below shows the graph of both equations, which you can see is the same.

graph{(3x+5y-1)(y+3/5x-1/5)=0 [-10, 10, -5, 5]}

Mar 28, 2018

y=35x+15

Explanation:

First subtract 3x from both sides, and you should have 5y=3x+1. You are almost there to slope-intercept form, the 5y needs to be just y. Divide by 5 on both sides (Make sure you divide 3x AND 1 by 5!). And then you have it in slope intercept form, y=35x+15 .