Answer to Question #297014 in Algebra for austyn

Question

Find an equation of the line passing through the given points. Use function notation to write the equation.

​(3​,11​) and ​(4​,16​)

Answer 1

Let's compose the equation of the line at two points:

$\frac{{x - 3}}{{4 - 3}} = \frac{{y - 11}}{{16 - 11}} \Rightarrow 5(x - 3) = y - 11 \Rightarrow y = 5x - 15 + 11 \Rightarrow y = f(x) = 5x - 4$

Answer: $f(x) = 5x - 4$