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11. Which of the following lines is perpendicular to the line 3x-9y = 17?

A) 12x + y = 4
B) 9x - 3y = 11
C) 6x + 2y = 8
D) 3x - y = 5

User Felguerez
by
7.6k points

1 Answer

4 votes

Explanation:

When using the equation of a line, one calculates the value of

y

in terms of

x

, say

y

=

m

x

+

c

, then

m

is the slope of the line and

c

is its intercept on

y

-axis.

As

3

x

9

y

=

15

can be written as

3

x

15

=

9

y

or

y

=

3

9

x

15

9

or

y

=

1

3

x

5

3

Hence slope of

3

x

9

y

=

15

is

1

3

Product of slopes of two perpendicular lines is

1

Hence, the slope of the line that is perpendicular to the line

3

x

9

y

=

15

is

1

1

3

=

1

×

3

1

=

3

graph{(3x-9y-15)(3x+y+5)=0 [-10, 10, -7.04, 2.96]}

User Thorarins
by
7.9k points

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