How do you write an equation in point-slope form for the given (2, 2), (-1, 4)?

Apr 4, 2018

$y - 2 = - \frac{2}{3} \left(x - 2\right)$

Here's how I did it:

Explanation:

Point slope form is:

First, we need to find the slope. We can find the slope using the formula $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

So now let's plug in the values of the two points you have:
$m = \frac{4 - 2}{- 1 - 2}$
(m = means slope)

$m = \frac{2}{-} 3$

$m = - \frac{2}{3}$

Now we can use one of our points and the slope and plug it into the point slope form equation above:
$y - 2 = - \frac{2}{3} \left(x - 2\right)$

Hope this helps!