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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 301 (page 520)

In the following exercises, identify the slope and y-intercept of each line.
$8 x + 3 y = 12$

Short Answer

Expert verified

Required slope is $- \frac{8}{3}$ and y-intercept is 4.

Step by step solution

01

Step 1. Given information.

The equation $8 x + 3 y = 12$ .

02

Step 2. Solve the given equation for y.

Solve the equation $8 x + 3 y = 12$ for y:

role="math" localid="1647365855420" $8 x + 3 y = 12 3 y = - 8 x + 12 y = - \frac{8}{3} x + 4$

03

Step 3. Compare the obtained equation with slope-intercept form of equation.

Compare the obtained equation $y = - \frac{8}{3} x + 4$ with $y = m x + b$ .

$m = - \frac{8}{3}; b = 4$

So, slope is $- \frac{8}{3}$ and y-intercept is 4.

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