the graph of a function is a line that passes through the coordinates (2,11) and (8,14) write an equation in the form y=mx + b for this function.

y = 1/2x + 10; Find the slope then find the y-intercept.

Step-by-step explanation:

Hello : let A (2,11) B (8,14)

the slope is : m = (YB - YA) / (XB - XA)

(14-11) / (8-2) = 3/6 = 1/2

the slope is m=1/2 so : y=1/2 x + b

passes through A (2,11) B (8,14)

for exempl A (2,11); when x=2 y = 11

1/2 (2) + b = 11

b = 10

an equation in the form y=mx + b for this function is:

y=1/2 x + 10