Question

A small business purchases a
piece of equipment for $875. After 5 years the equipment will be outdated, having no value.

Write a linear equation giving the value y of the equipment in terms of the time x

Answer 1

You need the equation for a line, you have two points (0,875), and (5,0), just plug them into the equation for a line.

Answer 2

You can just use slope intercept form, since you have the y intercept already. Just figure out the slope (change in y / change in x)

Answer 3

Would I use the formula y - y1 = m(x - x1) ? I got -175 for m

Answer 4

-175 is correct for m
It's fine to use that equation, yes. You already have your y intercept though, so you can save yourself the trouble of solving for y (even though it's easy) by using slope intercept of
y=(-175)x+875

Answer 5

thank you for your help!

Answer 6

No problem.