A Line passes through the points (4,19) and (9,24). Write a linear function in the form y = mx + b for this line.

The correct answer is: y = x + 15

The two given points are (4 , 19) and (9 , 24).
Using two – point form, equation of the line is
(y – y₁) = m (x – x₁)  where  m = 

m = 

     =  =  1
Now,  equation of the line is (y – y₁) = m (x – x₁)
(y – 19) = 1(x – 4)
y – 19  =  x – 4
y =  x – 4 + 19
y = x + 15