1. ## linear equation

You purchase an SUV for $26,000. A year later, the car is worth only$24,800.If the value of the car continues to depreciate at that rate,

A) find the linear equation that determines the value of the car based on the number of years you own it.

B) when will the car be worth $500? thanks for any help 2. Standard Equation of a line is:$\displaystyle y = mx+b$Where m is the slope and b is the y-intercept. The first thing to do is find the slope. Recall the slope formula:$\displaystyle
slope = \frac {rise(y)}{run(x)}$In this case we know that when the x variable has changed 1 unit, y has decreased by 1,200. So, the slope is:$\displaystyle -1,200$We also need the y intercept. This is at x=0. We know that the car is originally worth 26,000 dollars so our y intercept is:$\displaystyle 26,000$Plug it in to our standard equation to get:$\displaystyle
y = -1,200x + 26,000$The car will be worth$500 when $\displaystyle y = 500$ so just set the equation equal to 500:

$\displaystyle -1,200x + 26,000 = 500$

And solve for x.