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

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Answer 1 · 2018-04-04T16:18:13

#y - 2 = -2/3(x-2)#

Here's how I did it:

Point slope form is:
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First, we need to find the slope. We can find the slope using the formula #(y_2-y_1)/(x_2-x_1)#.

So now let's plug in the values of the two points you have:
#m = (4-2)/(-1-2)#
(m = means slope)

#m = 2/-3#

#m = -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 = -2/3(x-2)#

Hope this helps!