Question

 In one of the examples he is working on, he knows that the two coordinates (0,6) and

(8, 10) are on the function that he is deriving. Using the information from these two
coordinates, determine the slope and y-intercept of the function Mike is looking for, and
then write out the correct function.

Answer 1

9514 1404 393

Answer:

y = 1/2x + 6

Explanation:

The slope m is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (10 -6)/(8 -0) = 4/8 = 1/2

The y-intercept is given by the formula ...

b = y -mx

b = 6 -(1/2)(0) = 6

Then the slope-intercept equation is ...

y = mx +b

y = 1/2x +6