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

May 4, 2018

$\text{perpendicular slope } = - \frac{15}{4}$

Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = \frac{4}{15} x + 7 \text{ is in this form}$

$\text{with slope m } = \frac{4}{15}$

$\text{given a line with slope m then the slope of a line}$
$\text{perpendicular to it is}$

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

$\Rightarrow {m}_{\text{perpendicular}} = - \frac{1}{\frac{4}{15}} = - \frac{15}{4}$