Question

Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the points (1, 9.5) and (8, 6)

Answer 1

We first get the gradient of the equation of a line by taking the change in y over change in x

Hence our gradient will be

(6-9.5)/(8-1)=-3.5/7=0.5

Taking an arbitrary point(x,y) and using our gradient we get and one of the points above we get

(y-6)/(x-8)=0.5

y-6=0.5*(x-8)

y-6=0.5x-4

y=0.5x+2 or y=1/2x+2

which is the line of our equation the answer we are asked for.