College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding - Page 178: 26


point-slope form: $y-1=4(x-2)$ 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(2, 1). (2) Use the slope 4 to get another point on the line. From $(2, 1)$, move 4 units upward (the rise) and 1 unit to the right (the run) to arrive at the point $(3, 5)$. (3) Connect the two points using a straight line to complete the graph. (B) The slope-point 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 $m=4$ and $P(2, 1)$ on the line, the point-slope form of the equation of the line is: $y-1=4(x-2)$
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