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lana [24]
3 years ago
15

Which equation is a point slope form equation for line AB ?

Mathematics
2 answers:
shtirl [24]3 years ago
5 0

Answer:

Option C

equation :  y-5=\frac{3}{4} (x-6)

Step-by-step explanation:

<u>Point slope form Equation</u> states that the equation of a straight line in the form y-y_{1}=m(x-x_{1});   where m is the slope of the line.

We have to find the equation for line AB.

From the figure, we have

The coordinate of A(x_{2} , y_{2}) =  ( -2, -1) and  B(x_{1} , y_{1}) = (6 ,5)

First find the value of m:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Now, substitute the points of A and B into slope m:  

m = \frac{-1-(5)}{-2-(6)} or

m =\frac{-6}{-8} = \frac{3}{4}

Then, the equation of line: y-y_{1}=m(x-x_{1})

Substitute the value of slope in above equation and the coordinates of (x_{1} , y_{1}) we have,

y-5=\frac{3}{4} (x-6)

Therefore, the equation for the point slope form is, y-5=\frac{3}{4} (x-6)


ira [324]3 years ago
4 0
The correct answer is B. remember rise over run please mark as brainliest.
Cheers
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