Question

How do you find the slope that is perpendicular to the line `2x + y = 6`?

Answer 1

The slope perpendicular to `m= -2 " is m " = +1/2`

Explanation:

Change the equation into "slope/intercept" form, `y = mx+c`

`y = -2x+6, " "m = -2 and c = 6`

The slope perpendicular to `m= -2 " is " m = +1/2`

For perpendicular lines, one slope is the negative reciprocal of the other.

If `m_1 =a/b " then, " m_2 = -b/a`