Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? select yes or no for a-c a) y=-1/3x - 8 yes or no? b) y=3x - 10 yes or no? c) y=2x + 4

The line which is parallel to the line is (y = 3x - 10) and the line which is perpendicular to the line   is   and can be determined by using the slope intercept form.

Given :

Equation -

First, find the slope of the line .

m = 3

Now, consider each equation to determine which line is parallel or perpendicular to the line (y = 3x + 2).

A).

The slope of the equation   is:

When the two lines are perpendicular to each other then their slopes are:

Therefore, the line is perpendicular to the line  .

B). y = 3x - 10

The slope of the equation  y = 3x - 10  is:

When the two lines are parallel to each other then their slopes are same. Therefore, the line (y = 3x - 10) is parallel to the line .

C). y = 2x + 4

The slope of the equation  (y = 2x + 4)  is:

Therefore, the line (y = 2x + 4) is neither parallel nor perpendicular to the line  .

For more information, refer to the link given below:

link

see explanation

Step-by-step 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 + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

A

y = - x - 8 has slope m = -

3 and - are negative reciprocals

This line is perpendicular to y = 3x + 2

B

y = 3x - 10 has slope m = 3

This line is parallel to y = 3x + 2

C

y = 2x + 4 has slope m = 2

This line is neither parallel nor perpendicular to y = 3x + 2

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