Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Write an equation for a function that has a slope of 3 and that passes through the point (8, 14).

Sagot :

danielgeyfman

Answer:

[tex]f(x)=3x-10[/tex]

Step-by-step explanation:

Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].

We can plug in for our point and slope!

The equation for the line is [tex]y-14=3(x-8)[/tex].

Distributing the right side gives [tex]y-14=3x-24[/tex].

Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].

So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.