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

Step 1. Given information.

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

Step 2. Solve the given equation for y.

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

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

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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In the following exercises, 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. Solve the given equation for y.

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

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the given equation for y.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Statistics

Geometry

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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