Question

graph the equation. y - 1 = - 5(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: $y - 1=-5x + 10$. Then, add 1 to both sides to get $y=-5x+11$.

Step2: Identify slope and y - intercept

The slope $m=-5$ 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 $m=-5=\frac{\Delta y}{\Delta x}$. If $\Delta x = 1$, then $\Delta y=-5$. So another point is $(1,11 - 5)=(1,6)$.

Step4: Graph the line

Plot the points $(0,11)$ and $(1,6)$ and draw a straight line through them.

Answer:

Graph a straight line passing through the points $(0,11)$ and $(1,6)$ on the given coordinate grid.