Question

What is the equation of the line with slope `m= -3` that passes through `(23,-23)`?

Answer 1

`y=-3x+46`

Explanation:

The equation can be written in slope-intercept form, which is:

`y=mx+b`

where:
`y=`y-coordinate
`m=`slope
`x=`x-coordinate
`b=`y-intercept

Since we do not know the value of `b` yet, this is going to be what we are trying to solve for. We can do this by substituting the point, `(23,-23)`, and the slope, `-3`, into an equation. The only unknown value will be `b`:

`y=mx+b`
`-23=-3(23)+b`
`-23=-69+b`
`46=b`

Now that you know all your values, rewrite the equation in slope-intercept form:

`y=-3x+46`