Question

1. Find the slope of the line containing the points (9,6) (11,9).

Answer 1

`y=(3)/(2)x-(15)/(2)`

Explanation:

Use the point-slope formula
`y-y_(1)=m(x-x_(1))`

First you have to find m with the formula
`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

`m = (9 - 6)/(11 - 9) = (3)/(2)`

Choose whichever point you want as
`(x_(1), y_(1))`, in this case I'll choose
`(9, 6)`

`y - y_(1) = m(x - x_(1))\\y - 6 = (3)/(2) (x - 9)\\y - 6 = (3)/(2)x - (27)/(2) \\y = (3)/(2)x - (27)/(2) + 6\\y = (3)/(2)x - (15)/(2)`