Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Convert the equation from Standard Form to Slope-Intercept Form.

[tex]\[
-4x + 3y = -6
\][/tex]

Show your work in the box below.

[tex]\[
\boxed{}
\][/tex]

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

1. The slope is:
[tex]\[
\boxed{}
\][/tex]

2. The [tex]\( y \)[/tex]-intercept is:
[tex]\[
\boxed{}
\][/tex]

Sagot :

GinnyAnswer
To convert the equation from standard form to slope-intercept form, follow these steps:

Original equation:
[tex]\[ -4x + 3y = -6 \][/tex]

1. Isolate the term with [tex]\(y\)[/tex] on one side of the equation.

[tex]\[ 3y = 4x - 6 \][/tex]

2. Divide every term by the coefficient of [tex]\(y\)[/tex], which is 3, to solve for [tex]\(y\)[/tex].

[tex]\[ y = \frac{4}{3}x - 2 \][/tex]

So, the slope-intercept form of the equation is:
[tex]\[ y = \frac{4}{3}x - 2 \][/tex]

From this equation, we can identify the slope (m) and the y-intercept (b):

- The slope (m) is:
[tex]\[ \frac{4}{3} \][/tex]

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

Therefore:

- The slope is:
[tex]\[ 1.3333333333333333 \][/tex] or, equivalently, [tex]\[ \frac{4}{3} \][/tex]

- The y-intercept is:
[tex]\[ -2 \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.