Chapter 1.1, Problem 80AYU

In Problems 79-90, graph each equation by plotting points. Verify your results using a graphing utility.

$y=3x-9$

To determine

To sketch: The graph of the equation $y=\text{ 3}x-9$ by plotting points and then verify the results using a graphing utility.

Answer to Problem 80AYU

Explanation of Solution

Given:

The equation $y=\text{ 3}x-9$.

Interpretation:

$x = -2$	$y =3\left(-2\right)-9=-6-9=-15$
$x = -1$	$y =3\left(-1\right)-9=-3-9=-12$
$x = 0$	$y =3\left(0\right) -9= -9$
$x = 1$	$y =3\left(1\right)-9=3-9=-6$
$x = 2$	$y =3\left(2\right)-9=6-9=-3$

The points on the graph $\left(-2,\mathrm{-15}\right),\left(-1,\mathrm{-12}\right),\left(0,-9\right),\left(1,\mathrm{-6}\right),\left(2,\mathrm{-3}\right)$