Question

The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6). Choose the equation for like k

A. Y= 1/2x-3
B. Y= -1/2x-3
C. Y=-2x-3
D. Y=-3/2x + 3

Answer 1

B

Explanation:

The equation of a line in slope- intercept form is

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

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(2)`, thus

y = -
`(1)/(2)` x + c ← is the partial equation

To find c substitute (6, - 6) into the partial equation

- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3

y = -
`(1)/(2)` x - 3 ← equation of line k