Question

What is the slope intercept form of the line passing through `(4,-9)` with a slope of `5/4`?

Answer 1

`y=5/4x-14`

Explanation:

The slope-intercept form of a line is written in the form:

`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, `(4,-9)`, and the slope, `5/4`, into an equation. The only unknown value will be `b`:

`y=mx+b`
`-9=5/4(4)+b`
`-9=5/color(red)cancelcolor(black)4(color(red)cancelcolor(black)4)+b`
`-9=5+b`
`-14=b`

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

`y=5/4x-14`