Question

Find the equation of the line passing through the points (5,-5) and (-10,1)

Answer 1

The points are given (5,-5) and (-10,1) that passes through the line.

First determine the slope of the line, using the slope formula.

`m=(y_2-y_1)/(x_2-x_1)`
`m=(1-(-5))/(-10-5)=(6)/(-15)=-(2)/(5)`

Then determine the equation of line.

`(y-y_1)=m(x-x_1)`
`(y-(-5))=-(2)/(5)(x-5)`
`y+5=-(2)/(5)(x-5)`
`y=-(2)/(5)x+2-5`
`y=-(2)/(5)x-3`

Hence the equation obtained is

`y=-(2)/(5)x-3`