Question

What is the equation of the line with slope `m= 12/11` that passes through `(-3,-8)`?

Answer 1

`y=12/11x-52/11`

Explanation:

`"the equation of a line in "color(blue)"slope intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"here "m=12/11`

`rArry=12/11x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-3,-8)" into the partial equation"`

`-8=-36/11+brArrb=-88/11+36/11=-52/11`

`rArry=11/12x-52/11larrcolor(red)"is the equation of line"`