Question

Lines perp?
line 1 w/ coordinates (0,1) (6,-2)
line 2 w/ coordinates (3,-3) (6,3)
What I Know so far :
slope line 1= -1/2
slope line 2=2

Answer 1

@mathstudent55

Answer 2

Good, you are correct so far.
Now multiply the two slopes.
If the answer is -1, the lines are perpendicular.
That's what it means for the slopes to be "negative reciprocals", it's that their slopes have a product of -1.

Answer 3

ok how would i multiply the two slopes?

Answer 4

Change the second slope into a fraction by setting it over 1.
Then multiply the fractions by multiplying the numerators together and the denominators together.

\(-\dfrac{1}{2} \times 2 = -\dfrac{1}{2} \times \dfrac{2}{1} = -\dfrac{1 \times 2}{2 \times 1} = -\dfrac{2}{2} = -2\)

Answer 5

so would the solution be there perp, bcuz product of there slopes =-1

Answer 6

Yes. That is exactly it.