# How do you find the slope that is perpendicular to the line y=x-3?

Jul 22, 2016

${m}_{1} = 1 , \therefore {m}_{2} = - 1$

#### Explanation:

The equation is in the form $y = m x + c$.
$m$ indicates the slope.

The coefficient of $x$ is 1.so the slope = 1.

Slopes that are perpendicular are negative reciprocals of each other.

${m}_{1} = 1 , \therefore {m}_{2} = - 1$

(turn the slope upside down and change the sign.)

NOte $1 \times - 1 = - 1$