Question

graph the equation using the slope and the y - intercept.
( x - 3y = 15 )
use the graphing tool to graph the equation. use the slope and y - intercept when drawing the line.
(there is a button click to
enlarge
graph and a coordinate plane graph which is not fully transcribed here)

Explanation:

Step1: Rewrite to slope-intercept form

Rearrange $x - 3y = 15$ to $y=mx+b$:
$-3y = -x + 15$
$y = \frac{1}{3}x - 5$

Step2: Identify y-intercept

The y-intercept $b=-5$, so plot point $(0, -5)$.

Step3: Use slope to find next point

Slope $m=\frac{1}{3}=\frac{\text{rise}}{\text{run}}$. From $(0,-5)$, move up 1, right 3 to get $(3, -4)$.

Step4: Draw the line

Connect $(0,-5)$ and $(3,-4)$, extend the line.

Answer:

The line passes through points $(0, -5)$ and $(3, -4)$, extending infinitely in both directions.