I started riding my bike at a park near my house. In 1⁄2 hour, I am 6 miles from my house. In 1.5 hours, I am 14 miles from my house.

Question

Point Slope and Slope Intercept Form needed

Answer 1

f(h) = miles = m, h= hours

(1/2, 6) and (3/2, 14) are the two points (x,y) or (h,m). they have slope = m (14-6)/(3/2-1/2) = 8/1 = 8

m=8h + b where b is the y intercept (or m) intercept. to solve for b plug in either point

6=8(1/2) + b

b =2

m = f(h) = 8h + 2 or in the x y coordinates, it's y=8x+2