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Find an equation of the line containing the given pair of points. ​(negative 2−2​,00​) and ​(00​,77​) What is the equation of the​ line?

 Jun 11, 2016
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I was a little confused by the way you typed the coordinates of the points, but I'm going to assume that you mean (-2, 0), and (0,77). If that's not what you meant, just use the same steps I'm going to use, but put the correct numbers in.

 

First, I'm going to find the slope: 0 - 77 = -77, -2 - 0 = -2. So the slope is -77/-2, or 77/2. 

 

Now, I'm going to write this equation in slope-point form, because I know the slope and at least one point. I'm going to use the point (-2, 0), but you could use either. The format is y - 0 = 77/2 (x - (-2))

 

Let's just sort out the double negative:

 

y - 0 = 77/2 (x + 2)

 

Now, we're going to reorginize this so we get only y on the left side. That way, it'll be written in slope-intercept form, which is the "normal" way of writing an equation, and I assume that's how you want it.

 

y = 77/2 (x + 2) 

 

It's hard to tell, but I just added 0 to both sides. Now, we're going to multiply out the brackets.

 

y = 77/2x + 77.

 

Maybe you'd like it without the fraction?

 

y = 38.5x + 77

 

Hope that helps!

 

-Kitra

 Jun 11, 2016

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