Question

How do you find the slope and intercept of `-2x - 3y = 1`?

Answer 1

We can convert to the slope intercept form, `y=mx +b` by isolating `y`, and then read the slope (`m`) and intercept (`b`) from the equation.

Explanation:

We can isolate `y` by first moving the `x` term, and then eliminating the coefficient of `y`

`-2x-3y=1`

We can move the x term by adding `2x` to both sides:

`cancel(2x)- cancel(2x)-3y=1+2x`

and clear the `y` coefficient by dividing both sides by `-3`

`(cancel(-3)y)/cancel(-3)=(1+2x)/-3`

and then we can tity and rearrange to get our slope-intercept form:

`y=-2/3x-1/3`

So the slope and intercept are `-2/3` and `-1/3`, respectively.