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5 votes
What is the slope of a line parallel to the line whose equation is 3x + 6y = 9?

A. -1/2
B. 1/2
C. 2
D. 3

User Agrafix
by
7.6k points

2 Answers

0 votes

Answer:

C

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange 3x + 6y = 9 into this form

Subtract 6x from both sides

6y = - 3x + 9 ( divide all terms by 6 )

y = -
\frac1}{2} x +
(3)/(2) ← in slope- intercept form

with slope m = -
(1)/(2)

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


m_(perpendicular) = -
(1)/(m) = -
(1)/(-(1)/(2) ) = 2 → C

User Guzba
by
8.0k points
3 votes

The answer is A: -1/2

User GMalc
by
8.8k points

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