Question

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 1

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