Question

Find an equation of the line that passes through the points $(-2, 1)$ and $(3, 3)$. Write your equation in either point-slope form, standard form, or slope-intercept form.

Answer 1

y - 3 =
`(2)/(5)`(x-3) This is the point slope form of the line.

Explanation:

The slope is the change in y over the change in x. From the points given the y's are: 3 and 1.

the x's are: 3 and -2

`(3-1)/(3 - - 2)` =
`(2)/(3+2)` =
`(2)/(5)`

The point slope form is

y -
`y_(1)` - m(x -
`x_(1)`) You can use either point. I am going to use the point (3,3)

slope = 2/3

`y_(1)` = 3

`x_(1)` = 3

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