Question

How do you find the slope given `4x - 5y = -2`?

Answer 1

The slope is `4/5` .

Explanation:

`4x-5y=-2`

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

Solve `4x-5y=-2` for `y`.

Subtract `4x` from both sides of the equation.

`-5y=-4x-2`

Divide both sides by `-5`.

`y=4/5x+2/5`

The slope is 4/5#.