# Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises: 57

slope = -1 y-intercept - 3 Refer to the image below for the graph.

#### Work Step by Step

RECALL: (1) The slope is equal to $\dfrac{rise}{run}$ and may be used to graph a line when one point on the line is known. (2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept. (3) The y-intercept is y-coordinate of the the point on the y-axis where the line passes through. The given equation can be written as $y=-x + 3$. This equation has: slope (m) $=-1$ y-intercept (b) $=3$. To draw the graph of this line using the slope and y-intercept, perform the following steps: (1) Plot the y-intercept point$(0, 3)$. (2) From point $(0, 3)$, use the slope to locate/plot another point. The slope is $-1$, so move down one unit (the rise) and move to the right 1 unit (the run) to end up at the point $(1, 2)$. (3) Connect the two points using a straight line to complete the graph. (refer to the attached image in the answer part above for the graph)

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