Question

Are the graphs of 2y = -3x + 6 and y = 2/3 x + 2, parallel, Perpendicular, or neither? How do you know?

Answer 1

What do you know about perpendicular lines?
What do you know about parallel lines?

Answer 2

perpendicular colide parallel dont

Answer 3

Correct, perpendicular lines intersect and parallel lines do not. What else do you know? Hint: slopes

Answer 4

nothing rlly

Answer 5

If two lines are perpendicular, then their slopes multiply to ____

Answer 6

Are the slopes of parallel lines the same?

Answer 7

no?

Answer 8

that's incorrect, if any two lines are parallel, then they will have the same slope

Answer 9

ok then what?

Answer 10

solve

2y = -3x + 6

for y and tell me what you get

Answer 11

y= -3/2x +

Answer 12

3

Answer 13

the slope of y = -3/2x + 3 is -3/2

Answer 14

the slope of y = 2/3 x + 2 is 2/3

Answer 15

multiply these two slopes to get

(-3/2)*(2/3) = (-3*2)/(2*3) = -6/6 = -1

Since you get a product of -1, this tells us that the two lines are perpendicular

Answer 16

kk