Join IDNLearn.com and start getting the answers you've been searching for. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

What is the equation of the line that passes through the point (-6, -8) and has aslope of 1/3?

Sagot :

Answer:

x-3y=18

Explanation:

To determine the equation of the line, we use the point-slope form

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

Given that:

[tex]m=\frac{1}{3},(x_{1,}y_1)=(-6,-8)[/tex]

We therefore have:

[tex]y-(-8)=\frac{1}{3}(x-(-6))[/tex]

We can then simplify:

[tex]\begin{gathered} y+8=\frac{1}{3}(x+6) \\ 3(y+8)=x+6 \\ 3y+24=x+6 \\ 3y-x=6-24 \\ 3y-x=-18 \\ x-3y=18 \end{gathered}[/tex]

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.