Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises: 32

Answer

$\color{blue}{y=-\frac{5}{4}}$

Work Step by Step

RECALL: (1) 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. (2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. The given line has a slope of $0$ and a y-intercept of $(0, -\frac{5}{4})$. Substitute these into the slope-intercept form in (2) above to obtain: $y=0x-\frac{5}{4} \\\color{blue}{y=-\frac{5}{4}}$ This equation cannot be written in slope-intercept form.
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