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## lvasquev462 3 years ago A line contains points (-4, 2) and (0, -4). Another line graphed in the same coordinate plane contains points (4, 3) and (-5, -3). Based on the slopes of these lines, are they parallel, perpendicular or neither?

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1. CalebBeavers

Parallel lines: same slope Perpendicular lines: negative inverse slope

2. lvasquev462

inverse slope

3. lvasquev462

its Parallel

4. ByteMe

What did you get for the slope of the first line?

5. FaisalAyaz

Inverse slope means they are perpendicular. For Example If a line has slope 3 and other has -1/3 then these two lines are perpendicular.

6. lvasquev462

so it will be Parallel

7. CalebBeavers

What did you get for the slopes?

8. FaisalAyaz

Yes if the slopes of both the lines are same then lines are parallel.

9. lvasquev462

??????????????

10. CalebBeavers

You have to find the slope of both lines, do you know how to do that?

11. lvasquev462

no it has to be perpendicular

12. lvasquev462

2/4

13. CalebBeavers

14. lvasquev462

I gotten 2/4 and 1

15. FaisalAyaz

-3/2 and 2/3. 2/3 is negative reciprocal of -3/2.So Lines are perpendicular.

16. FaisalAyaz

how 2/4 and 1 lvasquev462? when there is a formula to find slope which is: y2-y1/x2-x1. So -4-2/0-(-4)=-6/4=-3/2

17. FaisalAyaz

Similarly find the slope of second equation.Which I got as 2/3. So (m1)(m2)=-1.Then lines are perpendicular. where m1=slope of first equation and m2=slope of second equation.

18. FaisalAyaz

You remember formula (m1)(m2)=-1 to check either lines are perpendicular or not.ok

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