Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

(5,-10)(-9,10) what is the linear equation

Sagot :

In order to find the linear equation, let's use the slope-intercept form below:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Now, using the points (5, -10) and (-9, 10), we have:

[tex]\begin{gathered} y=mx+b \\ (5,-10)\colon \\ -10=5m+b \\ (-9,10)\colon \\ 10=-9m+b \end{gathered}[/tex]

Subtracting one equation by the other, we have:

[tex]\begin{gathered} -10-(10)=5m+b-(-9m+b) \\ -10-10=5m+b+9m-b \\ -20=14m \\ m=-\frac{20}{14}=-\frac{10}{7} \\ \\ -10=5m+b \\ -10=-\frac{50}{7}+b \\ b=-10+\frac{50}{7} \\ b=-\frac{20}{7} \end{gathered}[/tex]

So our linear equation is:

[tex]y=-\frac{10}{7}x-\frac{20}{7}[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.