How do you find the slope and intercept of 3x+7y=4?

1 Answer
Oct 31, 2015

You change the equation into slope-intercept form (y=mx+b).

Explanation:

3x+7y=4
You need to isolate the y by subtracting 3x from each side.
7y=4-3x
Then, to get rid of the 7y and make it a single y, you divide each side by seven.
y=(4-3x)/7
You divide four by seven, and three x by seven.
y=4/7-3/7x
Move the 4x to have the equation in y=mx+b form.
y=-3/7x+4/7
The slope is -3/7 and the y-intercept is 4/7.