Chapter 3: Q. 106 (page 276)

Identify the slope and y-intercept of each line.
$8 x + 3 y = 12$ .

Short Answer

Expert verified

Slope of the line is $- \frac{8}{3}$ and y-intercept is $(0, 4)$ .

Step by step solution

Step 1. Given information

Given equation of the line is $8 x + 3 y = 12$ .

Step 2. Finding the slope and y-intercept.

Solving the given equation for y, we get

$\Rightarrow 3 y = - 8 x + 12 \Rightarrow y = \frac{- 8 x + 12}{3} \Rightarrow y = \frac{- 8 x}{3} + \frac{12}{3} \Rightarrow y = - \frac{8}{3} x + 4$

Now comparing with slope-intercept form of the line $y = m x + b$ , we get

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

Therefore slope of the line is $- \frac{8}{3}$ and y-intercept is $(0, 4)$ .

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Identify the slope and y-intercept of each line.
$8 x + 3 y = 12$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope and y-intercept.

One App. One Place for Learning.

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Identify the slope and y-intercept of each line.8x+3y=12.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope and y-intercept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Logic and Functions

Calculus

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Identify the slope and y-intercept of each line.
$8 x + 3 y = 12$ .