Question

What is the equation of the line with slope `m= -5/17` that passes through `(-2,-11)`?

Answer 1

`color(white)(xx)y=-5/17x-197/17`

Explanation:

`color(white)(xx)y=mx+c`

`=>y=color(red)(-5/17)x+c`

For `x=-2` and `y=-11`,
`color(white)(xx)color(blue)(-11)=-5/17xxcolor(blue)(-2)+c`
`=>-11color(red)(-10/17)=10/17+c color(red)(-10/17)`
`=>c=(-187-10)/17`
`=>c=-197/17`

`=>y=-5/17x-197/17`