Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Order the steps to correctly change the equation from Standard Form to Slope-Intercept Form.

START: STANDARD FORM
[tex]\[ 12x - 4y = 8 \][/tex]

A. Subtract [tex]\( 12x \)[/tex] from both sides
[tex]\[ -4y = -12x + 8 \][/tex]

B. Divide both sides by -4
[tex]\[ y = 3x - 2 \][/tex]

END: SLOPE-INTERCEPT FORM

After you have correctly ordered the steps, use the slope-intercept form equation to answer these questions:

The slope is:
[tex]\[ \square \][/tex]

The [tex]\( y \)[/tex]-intercept is:
[tex]\[ \square \][/tex]

Submit [tex]\[ \square \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's go through the steps to convert the given equation from Standard Form to Slope-Intercept Form and then answer the questions about the slope and the y-intercept.

### Given Equation in Standard Form:
[tex]\[ 12x - 4y = 8 \][/tex]

### Steps to convert to Slope-Intercept Form ([tex]\(y = mx + b\)[/tex]):

1. Subtract [tex]\(12x\)[/tex] from both sides to isolate the [tex]\(y\)[/tex] term on one side:
[tex]\[ -4y = -12x + 8 \][/tex]

2. Divide both sides by [tex]\(-4\)[/tex] to solve for [tex]\(y\)[/tex]:
[tex]\[ y = \frac{-12x + 8}{-4} \][/tex]

3. Simplify the right-hand side:
[tex]\[ y = 3x - 2 \][/tex]

### Equation in Slope-Intercept Form:
[tex]\[ y = 3x - 2 \][/tex]

### Answering the Questions:
- The slope ([tex]\(m\)[/tex]) is:
[tex]\[ 3 \][/tex]

- The [tex]\(y\)[/tex]-intercept ([tex]\(b\)[/tex]) is:
[tex]\[ -2 \][/tex]

### Final Submission:

1. Start with the equation in Standard Form: [tex]\( 12x - 4y = 8 \)[/tex]
2. Subtract [tex]\( 12x \)[/tex] from both sides: [tex]\( -4y = -12x + 8 \)[/tex]
3. Divide both sides by [tex]\(-4\)[/tex]: [tex]\( y = 3x - 2 \)[/tex]
4. Result in Slope-Intercept Form: [tex]\( y = 3x - 2 \)[/tex]

- The slope is: [tex]\( 3 \)[/tex]
- The [tex]\( y \)[/tex]-intercept is: [tex]\( -2 \)[/tex]

Submit ✔
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.