Question

graph the equation. y - 5 = - 3(x - 2) use the graphing tool to graph the equation. click to enlarge graph

Explanation:

Step1: Rewrite in slope - intercept form

First, expand the right - hand side: $y - 5=-3x + 6$. Then, add 5 to both sides to get $y=-3x+11$.

Step2: Identify slope and y - intercept

The slope $m=-3$ and the y - intercept $b = 11$. The y - intercept is the point $(0,11)$.

Step3: Use slope to find another point

Starting from the y - intercept $(0,11)$, using the slope $m=-3=\frac{\Delta y}{\Delta x}$, if $\Delta x = 1$, then $\Delta y=-3$. So another point is $(0 + 1,11-3)=(1,8)$.

Step4: Graph the line

Plot the points $(0,11)$ and $(1,8)$ and draw a straight line through them.

Answer:

Graph a line passing through the points $(0,11)$ and $(1,8)$.