Question

A dispenser of fruit punch is being filled at a rate of 2 gallons per minute. Theequation y - 20 = 2(x – 4) models the amount of fruit punch in the dispenser,where x is time (in minutes) and y is the amount of fruit punch (in gallons). Writethe equation in slope-intercept form.

Answer 1

A linear equation in slope-intercept form is represented by the following expression:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

To write the expression in slope-intercept form we must isolate the variable y:

`\begin{gathered} y-20=2(x-4) \\ y-20=2x-8 \\ y=2x-8+20 \\ y=2x+12 \end{gathered}`