Question

PLEASE HELPPPPPPPPPPPPP

What is the equation of the line passing through the points (-4,3) and (2,7)?

Answer 1

`y = (2)/(3) x + (17)/(3)`

Explanation:

First, find the slope of the line:

The formula for finding the slope is:
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

Plug in the points:

`(7 - 3)/(2 - (-4))` =
`(4)/(6)` =
`(2)/(3)`

So now the equation is y =
`(2)/(3)`x + b

Now solve for b by plugging in one of the points:

(2,7)

y =
`(2)/(3)`x + b

7 =
`(2)/(3)`2 + b

7 =
`(4)/(3)` + b

b =
`(17)/(3)`

So the equation will be
`y = (2)/(3) x + (17)/(3)`