So,
First, we'll find the slope.
\(slope = \frac{rise}{run}\)
We have to subtract 2 from 1 and -3 from 2.
1 - 2 = -1
2 - -3 = 5
So the slope is:
\(\frac{-1}{5}\)
Now, we have the following:
\(y = \frac{-1}{5} x + b\)
Now, we can solve for the y-intercept.
Use the ordered pair (2,1) to solve.
\(1 = \frac{-1}{5}(2) + b\)
Distribute.
\(1 = \frac{-2}{5} + b\)
Add 2/5 to both sides.
\(1 \frac{2}{5} = b\)
So the point-slope form of the line that passes through the points (-3,2) and (2,1) is:
\(y = \frac{-1}{5} x + 1 \frac{2}{5}\)
