Question

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

Answer 1

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`.