Question

What is the slope of the line perpendicular to `y=4/15x+7`?

Answer 1

`"perpendicular slope "=-15/4`

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=4/15x+7" is in this form"`

`"with slope m "=4/15`

`"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/(4/15)=-15/4`