Lines parallel or perpendicular?

Question

The equations of the 3 lines are y1=-4x-2, y2=1/6x+4, y3=4x-2. Find of any lines are parallel or perpendicular. Please Explain!

Answer 1

the way you find out if lines are perpendicular or parallel is by their slopes. can you calculate their slope? use the equation y = mx + b where m is he slope and b is the y-intercept. so for y1 the slope is 4. y2 the slope is 1/6 and y3 the slope is 4. so y1 and y3 are parallel becaus they have the same slope. it is perpedicular if the slopes are opposite reciprocals of one another. in other words, if the slope is 2, then a lines with the slope -1/2 is perpindicular to that line.  

Answer 2

Lines are parallel if they have the same slope.

Lines are perpendicular if they have slopes which are negative reciprocals (m1 = -1/m2)

In this problem,

Equation 1 has a slope of -4.

Equation 2 has a slope of 1/6.

Equation 3 has a slope of 4.

(the slope is the coefficient before the x, when equation is written y = mx+b)

None of them have the same slope, so none are parallel.

None of them have negative reciprocals of each other, so none are perpendicular.