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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. 4.84 (page 500)

Identify the slope and y-intercept of the line $3 x + 2 y = 12$ .

Short Answer

Expert verified

The solution is slope $= - \frac{3}{2}$ and y-intercept $= (0, 6)$ .

Step by step solution

Step 1. Given information

Line: $3 x + 2 y = 12$

Step 2. Calculation

We have,

$3 x + 2 y = 12$

$3 x - 3 x + 2 y = - 3 x + 12$

$\frac{2 y}{2} = \frac{- 3 x + 12}{2}$

$y = \frac{- 3 x}{2} + 6$

$y = - \frac{3}{2} x + 6$

So the slope is $m = - \frac{3}{2}$ since $y = m x + b$ .

The y-intercept is $(0, 6)$

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Identify the slope and y-intercept of the line3x+2y=12.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Identify the slope and y-intercept of the line $3 x + 2 y = 12$ .