Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 37

(answers vary) Three additional points on the line: $(-1, -5)$ $(0, -7)$ $(1, -9)$

Work Step by Step

RECALL: The slope $m$ is equal to $\dfrac{\text{rise}}{\text{run}}$, and can be interpreted as the average increase in $y$ for every one unit increase in $x$. A slope of $-2$ means that for every increase of 1 unit in the value of $x$, the value of $y$ decreases by $2$ units. Thus, to find other points on the same line as the point $(-2, -3)$ just add $1$ to the value of $x$ and subtract $2$ from the value of $y$ to obtain: $(-2+1, -3-2) = (-1, -5)$ $(-1+1, -5-2) = (0, -7)$ $(0+1, -7-2) = (1, -9)$ Plot the points and connect them using a line. (refer to the image below)

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