Chapter 4: Q20. (page 244)

Write each equation in slope-intercept form.
$y + 1 = \frac{1}{2} (x - 8)$

Short Answer

Expert verified

The equation in slope-intercept form is $x - 2 y = 10$ .

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is $y = m x + b$ , where m is the slope and $b$ is the $y$ -intercept.

Step 2. Simplify the equation.

In order to simplify $y + 1 = \frac{1}{2} (x - 8)$ , first multiply both sides by 2 and then apply the distributive property.

$y + 1 = \frac{1}{2} (x - 8) 2 \times (y + 1) = 2 \times \frac{1}{2} (x - 8) 2 y + 2 = x - 8$

Step 3. Write the equation in slope-intercept form.

Further, simplify the equation so as to rewrite the equation in the needed form of $y = m x + b$ .

role="math" localid="1647426221408" $2 y + 2 = x - 8 2 y + 2 - 2 = x - 8 - 2 Subtract2fromeachside 2 y = x - 10 Subtract x frombothsides (- 1) \times (2 y - x) = (- 1) \times (- 10) Multiplybothsidesby-1 x - 2 y = 10$

Thus, the equation in slope-intercept form is $x - 2 y = 10$ .

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Hour	1	2	3	4
Inches	0.45	0.9	1.35	1.8

Write each equation in slope-intercept form.
$y + 1 = \frac{1}{2} (x - 8)$

Short Answer

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

Step 2. Simplify the equation.

Step 3. Write the equation in slope-intercept form.

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Write each equation in slope-intercept form.y+1=12x−8

Short Answer

Step by step solution

Step 1. State the concept of slope-intercept of an equation.

Step 2. Simplify the equation.

Step 3. Write the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Mechanics Maths

Probability and Statistics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Write each equation in slope-intercept form.
$y + 1 = \frac{1}{2} (x - 8)$