Question #297014

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

​(3​,11​) and ​(4​,16​)


1
Expert's answer
2022-02-14T16:37:43-0500

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

x343=y1116115(x3)=y11y=5x15+11y=f(x)=5x4\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)=5x4f(x) = 5x - 4


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