A line containing the coordinates (2,36) and (8,51) gives the height for boys based on age. Let x represent a boy's age and let y represent his height(in inches).

a. Find a linear equation that represent the height of a boy verses his age. Give the answer in slope-intercept form.

slope m=(51-36)/(8-2).

=2.5.

y-36=2.5(x-2).

y-36=2.5x-5

y=2.5x+31..

b. Use the linear equation found in (a) to predict the average height of a 5-year old boy.

y=2.5*5+31.

=43.5.