Question

Write the equation for a line that has a rate of change of -3 and passes through the point (3, -5).

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope (a rate of change)

b - y-intercept

We have the slope
`m=-3\to y=-3x+b`

and point (3, -5). Substitute:

`-5=-3(3)+b`

`-5=-9+b` add 9 to both sides

`4=b\to b=4`

Answer:
`y=-3x+4`