Chapter 13, Problem 8CR

To determine

To calculate: Three points on the line

Answer to Problem 8CR

Three points on the line are $(1,3)$ , $(2,8)$ and $(3,13)$

Explanation of Solution

Given information: line passes through $(0,-2)$ and has slope $5$

Formula used: equation of a line : $y=mx+c$ where $m$ is slope and $c$ is y intercept.

Calculation: the line passes through $(0,-2)$ , as the first component is zero it is a y intercept. That means $c=-2$ .

As the slope is 5 we have $m=5$

Mow using this in the equation of line we have $y=5x-2$ .

Now, we have the equation of the line from which we can find other three point passing through the line.

For $x=1$ , we have $y=5\times 1-2\Rightarrow y=3$

For $x=2$ , we have $y=5\times 2-2\Rightarrow y=8$

For $x=3$ , we have $y=5\times 3-2\Rightarrow y=13$

From the above we have the points as: $(1,3)$ , $(2,8)$ and $(3,13)$