College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises: 32

Answer

$y=7$

Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b = y-intercept. (2) The slope of a line can be found using the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line. (3) The slope of a horizontal line is $0$ and its equation is of the form $y=k$ where $k$ is the y-coordinate of any point on the line. (4) The slope of a vertical line is undefined and its equation is of the form $x=h$ where $h$ is the x-coordinate of any point on the line. Solve for the slope to obtain: $m=\dfrac{7-7}{4-1} \\m=\dfrac{0}{3} \\m=0$ The slope is zero therefore the line is horizontal. The y-coordinate of the point is $7$. Thus, the equation of the line is $y=7$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.