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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.

Answer :

We are given the following two points

[tex](-2,5)\: \text{and}\: (-9,10)[/tex]

Let us first find the slope of the line.

The slope of the line is given by

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

Let us substitute the given points into the above slope formula

[tex]m=\frac{10-5}{-9-(-2)}=\frac{5}{-9+2}=-\frac{5}{7}[/tex]

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

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