Question

What is the y intercept for a line with point (6.-6) slope -7/3?

Answer 1

The y-intercept is `8`.

Explanation:

`y=mx+b` is the slope-intercept form for a linear equation, where `m` is the slope and `b` is the y-intercept.

`x=6,` `y=-6`

Substitute the known values for `x` and `y`, and solve for `b`.

`-6=-7/3*6+b=`

`-6=-42/3+b`

Simplify `-42/3` to `-14`.

`-6=-14+b`

Add `14` to both sides of the equation.

`14-6=b`

`8=b`

Switch sides.

`b=8`

The y-intercept is `8`.

The following graph has the slope-intercept equation `y=-7/3x+8`

graph{y=-7/3x+8 [-19.96, 20.04, -4.39, 15.61]}