At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The points(13,-6) and (8,-11) fall on a particular line. What is its equation in slope- intercept form?

Sagot :

Answer:

y = x - 19

Step-by-step explanation:

Slope intercept form of a line is y = mx + b.

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept.

To find slope we use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  • [tex]\frac{-11+6}{8-13}[/tex]
  • [tex]-5/-5[/tex]
  • [tex]1[/tex]

Now, to find the y-intercept we take the values of a point and plug them into our equation so far.

  • [tex]-6=13+b[/tex]
  • [tex]-6-13=13+b-13[/tex]
  • [tex]b = -19[/tex]  

Therefore, the answer is y = x - 19.

Have a lovely rest of your day/night, and good luck with your assignments! ♡