Question

(a) What is the equation of the line, written in slope-intercept form? Show how you determined the equation.

Answer 1

First we need to find the slope. We can find the slope by
`(rise)/(run)`. The slope is
`(-5)/(4)`. You can also find the slope by calculating the change in the y values over the change in the x values. If the line looks like /, it has a positive slope, if it looks like \, it has a negative slope.

The slope intercept form is
`y=mx+b`

Where
`m` is slope and
`b` is the y-intercept.

To find the y-intercept is (0,16.25) because we take the last
`y` value we know, 15, and add
`\frac{5/4}` (|m|). So now we just put it all into the equation.


`y=(-5)/(4)x+16.25`