Question

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

Answer 1

see explanation

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 = -
`(1)/(3)` x - 8 has slope m = -
`(1)/(3)`

3 and -
`(1)/(3)` 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