# What is the slope of the line perpendicular to  y=7/4x -3 ?

Jan 7, 2016

$s l o p e = - \frac{4}{7}$

#### Explanation:

One form of the equation of a straight line is y = mx + c
where m is the slope and c the y-intercept.

the equation here fits this form and by comparison $m = \frac{7}{4}$

Consider 2 lines with slopes ${m}_{1} \mathmr{and} {m}_{2}$

when they are perpendicular to each other then ${m}_{1} \times {m}_{2} = - 1$

$\Rightarrow \frac{7}{4} \times {m}_{2} = - 1$

$\Rightarrow {m}_{2} = - \frac{1}{\frac{7}{4}} = - \frac{4}{7}$