Question

How do you find the slope and y intercept of 5x-2y-7=0?

Answer 1

The slope is `5/2` and the y-intercept is `-7/2`

Explanation:

Solve `5x-2y-7=0` for `y`.

Subtract `5x` from both sides.

`-2y-7=-5x`

Add `7` to both sides.

`-2y=-5x+7`

Divide both sides by `-2`

`y=(-5x)/(-2)+(7)/(-2)=`

`y=5/2x-7/2`

The equation is now in slope-intercept form `y=mx+b`, where `m` is the slope, and `b` is the y-intercept.

For the equation `y=5/2x-7/2`, the slope is `5/2` and the y-intercept is `-7/2`.

graph{y=5/2x-7/2 [-10, 10, -5, 5]}