Question

Find the equation of the line passing through the points A(3,2) and B(6,3)

Answer 1

y =
`(1)/(3) x+1`

Explanation:

m =
`m = (change in y)/(change in x) \\m = (3 - (2))/(6 - (3))\\m = (1)/(3) \\Find the value of b using the equation of a line \\y = mx+b\\y =( (1)/(3) )x + b\\2 =( (1)/(3) ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = (1)/(3) x + 1`