Question

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

Answer 1

Answer:

$f(x)=3x-10$

Step-by-step explanation:

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

We can plug in for our point and slope!

The equation for the line is $y-14=3(x-8)$.

Distributing the right side gives $y-14=3x-24$.

Adding $14$ to both sides gives $y=3x-10$.

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