# Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 84

$\text{slope}=m=1; \\\text{y-intercept}=b=-2$ Refer to the image below for the graph.

#### Work Step by Step

RECALL: The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept Write the given equation in slope-intercept form by isolating $y$ on one side to obtain: $x-y=2 \\x=y+2 \\x-2=y \\y=x-2$ The equation above has: $\text{slope}=m=1; \\\text{y-intercept}=b=-2$ To graph the line, perform the following steps: (1) Plot the y-intercept point $(0, -2)$. (2) Use the slope of $1$ to find another point on the line. From $(0, -2)$, move up 1 unit (the rise) and move 1 unit to the right (the run) to arrive at the point $(1, -1)$. (3) Complete the graph by connecting the two points using a straight line. (refer to the attached image in the answer part above for the graph)

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.