Question

Question #04189

Answer 1

The slope-intercept is `2`.

Explanation:

`2x+5y=10` is the standard form for a linear equation.

In order to determine the y-intercept, you need to solve the standard form for `y`. This will result in the slope-intercept form for a linear equation, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`2x+5y=10`

Subtract `2x` from both sides.

`5y=-2x+10`

Divide both sides by `5`.

`y=(-2x)/5+10/5`

Simplify.

`y=-2/5x+2`

`m=-2/5`

`b=2`

The y-intercept is `2` when `x=0`, which is point `(0,2)`.

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