Discover new knowledge and insights with IDNLearn.com's extensive Q&A database. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

Find the equation of the line passing through the line (3,- 4) and (8, - 8)

Sagot :

Answer:

[tex]y=-\frac{4}{5}x-\frac{8}{5}[/tex]

First, let us find the slope of the line using the following equation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the points (3, -4) and (8, -8)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\Rightarrow m=\frac{-8-(-4)}{8-3}[/tex][tex]m=\frac{-8+4}{8-3}=\frac{-4}{5}\Rightarrow m=-\frac{4}{5}[/tex]

Now that we found the slope of the line, we are going to use the following equation to solve for the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

Using the point (3, -4)

[tex]y-y_1=m(x-x_1)\Rightarrow y-(-4)=-\frac{4}{5}(x-3)[/tex][tex]y+4=-\frac{4}{5}x+\frac{12}{5}\Rightarrow y=-\frac{4}{5}x+\frac{12}{5}-4[/tex][tex]y=-\frac{4}{5}x-\frac{8}{5}[/tex]

Therefore, the equation of the line that passes through the points (3, -4) and (8, -8) is:

[tex]y=-\frac{4}{5}x-\frac{8}{5}[/tex]

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.