Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.4 - Linear Functions and Slope - Exercise Set - Page 213: 83

Answer

The $y$ intercept of the line is $5$.

Work Step by Step

Consider a line that passes through the point $\left( 3,-1 \right)$ and has a slope of $-2$. Substitute $\left( {{x}_{1}},{{y}_{1}} \right)=\left( 3,-1 \right)$ and $m=-2$ (the slope of the given line) in the equation: $\begin{align} & y-\left( -1 \right)=-2\left( x-3 \right) \\ & y+1=-2x+6 \end{align}$ Solve the above equation for y: $\begin{align} & y+1=-2x+6 \\ & y=-2x+6-1 \\ & y=-2x+5 \end{align}$ To calculate the y intercept of the line, compare the last equation with the general slope-intercept form of a line as follows: $b=5$ Hence, the $y$ intercept of the given line is $b=5$.
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.