Question

Question #0bbd5

Answer 1

The slope is `2` and the `y`-intercept is `-3`.

Explanation:

The slope-intercept form of the equation of a line is `y=mx+b`. A line with this equation has a slope of `m` and a `y`-intercept of `b`.

(For why this is the case, consider that increasing `x` by `1` increases `y` by `m`, making `m/1=m` the slope, and setting `x=0` shows us that the `y`-intercept is at `(0, b)`)

For the given equation, we use algebraic manipulation to put it into slope-intercept form.

`y-2x = -3`

`=> y-2x+2x = -3+2x`

`:. y = 2x-3`

As this is slope-intercept form with `m=2` and `b=-3`, the slope is `2` and the `y`-intercept is `-3`.