Question

Write the equation of the line

Through: (2,-2) and (5,2)

Answer 1

y =
`(4)/(3)` x -
`(14)/(3)`

Explanation:

The slope is the change in y over the change in x

`(2 - -2)/(5-2)` =
`(4)/(3)` This is our slope. We will use this and one of the points to find the y-intercept.

m = 4/3

x = 5

y =2

y =mx + b

2 =
`(4)/(3)` (5) + b

2 =
`(20)/(3)` + b Subtract
`(20)/(3)` from both sides

2 -
`(20)/(3)` = b

`(6)/(3)` -
`(20)/(3)` = b

-
`(14)/(3)` This is our y -intercept