Given is a table of Time(hours)-Distance(miles).
We have points (4, 208), (6, 312), (8, 416), (10, 520).
Finding slope of given points:-
[tex]m_1=\frac{312-208}{6-4}= \frac{104}{2}=52 \\m_2=\frac{416-312}{8-6}= \frac{104}{2}=52 \\m_3=\frac{520-416}{10-8}= \frac{104}{2}=52[/tex]
We know general equation of the line is given by y = mx+b.
Using point (4, 208) and slope m = 52 in the equation y = mx+b.
208 = (52)(4) + b
208 = 208 + b
b = 0.
So, the equation is y = 52x.
