Question

choose the point-slope form of the equation below that represents the line that passes through the points (-3,2) and (2,1)

Answer 1

So,

First, we'll find the slope.

`slope = (rise)/(run)`

We have to subtract 2 from 1 and -3 from 2.
1 - 2 = -1
2 - -3 = 5

So the slope is:

`(-1)/(5)`

Now, we have the following:

`y = (-1)/(5) x + b`

Now, we can solve for the y-intercept.

Use the ordered pair (2,1) to solve.

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

Distribute.

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

Add 2/5 to both sides.

`1 (2)/(5) = b`

So the point-slope form of the line that passes through the points (-3,2) and (2,1) is:

`y = (-1)/(5) x + 1 (2)/(5)`