Question

How do you find the equation of the line through (9,-12) with slope -1/2?

Answer 1

`y=-1/2x-15/2`

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=-1/2`

`rArry=-1/2x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(9,-12)" into the partial equation"`

`-12=-9/2+brArrb=-24/2+9/2=-15/2`

`rArry=-1/2x-15/2larrcolor(red)"in slope-intercept form"`