A line passes through the points(4,10) and (9,20) Write a linear function in terms of X and Y for this line

y = 2x + 2

Step-by-step explanation:

given       : line passes through the points (4,10) and (9,20)

Required :  write a linear function in terms of x and y

solution   :

substitute the coordinate points into the equation: y = mx + b

(x=9, y=20)      _   20 = 9m + b

(x=4, y=10)            10 = 4m + b  

subtracting           10 = 5m

                               m = 10/5

                               m = 2

substitute x=2 back into eq.1 to solve for b

20 = 9m + b

20 = 9(2) + b

20 - 18 = b

b = 2

therefore the straight line equation is:

y = mx + b

y = 2x + 2