Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).

Sagot :

charliethebest2002

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

  • The slope is 2.
  • The y-intercept is 7.

y=2x+7

  • Therefore, the correct answer is y=2x+7.

I hope this helps you! Let me know if my answer is wrong or not.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.