Please show steps Name print First Name print 2 Problems Sho

Name (print) First Name (print) 2 Problems. Show all steps to get full credits. (10 points) a) A linear function pass through (2,3) and (5,6), what is the equation of the function? b) Solve the rational equation. r 3

Solution

a)line passing through (2,3)and (5,6)

y -3=((6-3)/(5-2))(x-2)

y-3=1(x-2)

y-3=x-2

y=x+1

b)1/(x+3) =[2/(x²-9)] -[1/(x-3)]

1/(x+3) =[2/((x-3)(x+3))] -[1/(x-3)]

1/(x+3) =[2 -(x+3)]/((x-3)(x+3))

cancle out x+3 on both sides

1 =[2 -x-3]/(x-3)

1=(-1-x)/(x-3)

-1-x=x-3

x+x=3-1

2x=2

x=1