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write the standard form of the equation of the line through the pair of points ( -2, 5) and ( -9, 10 ) write the equation using only integer coefficients.

User Gurubelli
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1 Answer

1 vote

We are given the following two points


(-2,5)\: \text{and}\: (-9,10)

Let us first find the slope of the line.

The slope of the line is given by


m=(y_2−y_1)/( x_2−x_1)
\text{where}\: (x_1,y_1)=(-2,5)\: \text{and}\: (x_2,y_2)=(-9,10)

Let us substitute the given points into the above slope formula


m=(10-5)/(-9-(-2))=(5)/(-9+2)=-(5)/(7)

So, the slope of the line is -5/7

User Kishan Gujarati
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7.9k points

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