Find an equation of the line passing through the given points. Use function notation to write the equation.
(3,11) and (4,16)
Let's compose the equation of the line at two points:
x−34−3=y−1116−11⇒5(x−3)=y−11⇒y=5x−15+11⇒y=f(x)=5x−4\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 - 44−3x−3=16−11y−11⇒5(x−3)=y−11⇒y=5x−15+11⇒y=f(x)=5x−4
Answer: f(x)=5x−4f(x) = 5x - 4f(x)=5x−4
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