Question

What is the equation of the line with slope `m= -7/17` that passes through `(-2,-1)`?

Answer 1

`7x+17y= -31`

Explanation:

Using the general slope-point form for a line with slope `m` through the point `(hatx,haty)`
`color(white)("XXX")(y-haty) = m(x-hatx)`

with the given values
`color(white)("XXX")(y+1) = -7/17(x+2)`

This could be simplified as:
`color(white)("XXX")17y+17 = -7x -14`

`color(white)("XXX")7x+17y=-31`
(this is "standard form" for a linear equation)