What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y + 1 = 2/3 (x + 3) (points are at (-3,-3) and (3,1)

Hello!

First of all we need to find the slope. To do so we use the following equation.



The ones and twos just represent different ordered pairs. We will have (-3,3) be () and (3,1) be () Now we plug our numbers into the formula.


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Now we need to write our equation in point-slope form, which is y-k=m(x-h), where (h,k) represent a point on the line, and m is the slope.. We will use (3,1) for (h,k). Our final equation is shown below.

y-1= (x+3)

I hope this helps!