Question

How do you write the equation in point slope form given (-3,1); (0,2)?

Answer 1

y= `1/3x + 2`

Explanation:

The general form of a linear equation is `y=mx+b` where `m` is the slope and `b` is the y-intercept. In this case the point `(0,2)` is located on the y axis and is infact the y-intercept. So, in our general formula, `b=2`. To find the slope we use the formula:
`m` =`(( y_2 - y_1)/(x_2 - x_1))`

`m` = `((2 - 1)/(0 - -3))` = `1/3`
Using these two bits of information I can write the equation as:
`y=1/3x +2`