# Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 79

$\text{slope}=m=-\frac{1}{2}; \\\text{y-intercept}=b=2$ 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: $x+2y=4 \\2y = -x+4 \\y=\frac{-x+4}{2} \\y = -\frac{1}{2}x+2$ The equation above has: $\text{slope}=m=-\frac{1}{2}; \\\text{y-intercept}=b=2$ To graph the line, perform the following steps: (1) Plot the y-intercept point $(0, 2)$. (2) Use the slope $-\frac{1}{2}$ to find another point on the line. From $(0, 2)$, move down 1 unit (the rise) and move 2 units to the right (the run) to arrive at the point $(2, 1)$. (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)

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