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Sedbober [7]
3 years ago
14

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
Point slope form: 
y-y_1=m(x-x_1)

m=slope 
(x1,y1) 

First we need to find the slope using the slope formula:
\frac{y_2-y_1}{x_2-x_1} =slope

Given the two coordinates: 
<span>(1, 9) and (−1, 11)

Plug them into the slope formula: 
</span>\frac{11-9=2}{-1-1=-2} =slope
Simplify: 
\frac{2}{-2} =-1
<span>
Now we know that: 
m=-1  and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info: 
y-9=-(x-1)

Final answer: y − 9 = −(x − 1)
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