Question

How do you find the slope perpendicular to `y = 2/3x - 12`?

Answer 1

`"perpendicular slope "=-3/2`

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"`

`y=2/3x-12" is in this form with slope m "=2/3`

`"Given a line with slope m then the slope of a line"`
`"perpendicular to it is"`

`•color(white)(x)m_(color(red)"perpendicular")=-1/m`

`rArrm_("perpendicular")=-1/(2/3)=-3/2`