## College Algebra (10th Edition)

Published by Pearson

# Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 29

#### Answer

point-slope form: $y-3=0$ (since slope is 0) Refer to the image below for the graph.

#### Work Step by Step

(A) To graph the line with the given point and slope (slope is $\dfrac{\text{rise}}{\text{run}}$), perform the following steps: (1) Plot the point P(-1, 3). (2) A slope of $0$ means the line is horizontal. Plot any point with the same y-coordinate as $P$. (3) Connect the two points using a straight line to complete the graph. (refer to the attached image below) (B) The point-slope form of a line's equation is $y-y_1 = m(x-x_1)$ where $m$= slope and $(x_1, y_1)$ is a point on the line. With $m=0$ and $P(-1, 3)$ on the line, the point-slope form of the equation of the line is: $y-3=0(x-(-1)) \\y-3=0(x+1) \\y-3=0$

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