Question

Write an equation for the number of gallons of gas remaining,y, after x miles, in slope intercept form.

Answer 1

We have to find the slope first:

`m=\frac{1.9-2.14}{5\text{ - 3}}=\text{ }(-0.24)/(2)=\text{ -0.12}`

With m, and any x and y value we find b

`\begin{gathered} 3=(\text{ -}0.12)(2.14)+b \\ 3=\text{ -}0.2568\text{ + b} \\ b=3.2568\text{ = 3.}3 \end{gathered}`

The equation is:

y = -0,12x + 3.3