Question

Solve each equation for $y.$ $y-7=-9(x-6)$

   Solve each equation for $y.$
$y-7=-9(x-6)$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 3, Problem 72

Instant Answer

Solved by Expert Heather Zimmers

03/19/2020

Step 1

This gives us: \[y = -9(x-6) + 7\] Show more…

Show all steps

lock

Thanks for your feedback!

Solve each equation for $y.$ $y-7=-9(x-6)$

Play audio

Feedback

Powered by NumerAI

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Distributive Property

The distributive property allows you to multiply a term across terms inside a parenthesis. It is a key tool for simplifying equations that involve parentheses, ensuring that each term inside the parenthesis is multiplied by the term outside, which makes it easier to isolate variables in an equation.

Rewriting Equations in Slope-Intercept Form

Rearranging an equation to the slope-intercept form, y = mx + b, is important in linear algebra as it clearly shows the slope and the y-intercept of the line. This form is useful not only for graphing but also for understanding the behavioral properties of linear equations.

Solving Linear Equations

This concept involves manipulating an equation to isolate a single variable on one side using equivalent transformations. It is crucial for determining the value of the variable by applying operations such as addition, subtraction, multiplication, division, and the use of the distributive property, all while maintaining the equality of the equation.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later