Question

A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?

Answer 1

The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.

Explanation:

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Answer 2

-
`(1)/(3)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(3)` ← slope of perpendicular line