First, find the slope between the two points (3, 4) & (5, 16):
m = [tex] \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
= [tex] \frac{ 4 -16}{ 3 - 5} [/tex]
= [tex] \frac{-12}{ -2} [/tex]
= 6
Then, input the slope and one of the points into the point-slope form:
y - [tex] y_{1} [/tex] = m(x - [tex] x_{1} [/tex])
y - 4 = 6(x - 3)
y - 4 = 6x - 18
y = 6x - 18 + 4
y = 6x -14
Answer: y = 6x - 14
