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

Answer 1

Answer:

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 = - $\frac{1}{3}$ x - 8 has slope m = - $\frac{1}{3}$

3 and - $\frac{1}{3}$ 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