Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

Convert the standard form equation into slope-intercept form.

6x - 2y = -20

The slope-intercept form of the equation is ______.

Sagot :

GinnyAnsweridn
To convert the standard form equation [tex]\( 6x - 2y = -20 \)[/tex] into slope-intercept form, follow these steps:

1. Start with the given equation:
[tex]\[ 6x - 2y = -20 \][/tex]

2. Isolate the term involving [tex]\(y\)[/tex] on one side of the equation. To do this, move the [tex]\(6x\)[/tex] term to the right side by subtracting [tex]\(6x\)[/tex] from both sides:
[tex]\[ -2y = -6x - 20 \][/tex]

3. Solve for [tex]\(y\)[/tex] by dividing every term by [tex]\(-2\)[/tex]:
[tex]\[ y = \frac{-6x}{-2} + \frac{-20}{-2} \][/tex]

4. Simplify the fractions:
[tex]\[ y = 3x + 10 \][/tex]

Therefore, the slope-intercept form of the equation is:
[tex]\[ y = 3x + 10 \][/tex]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.