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?
Parallel lines: same slope Perpendicular lines: negative inverse slope
inverse slope
its Parallel
What did you get for the slope of the first line?
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.
so it will be Parallel
What did you get for the slopes?
Yes if the slopes of both the lines are same then lines are parallel.
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You have to find the slope of both lines, do you know how to do that?
no it has to be perpendicular
2/4
I gotten 2/4 and 1
-3/2 and 2/3. 2/3 is negative reciprocal of -3/2.So Lines are perpendicular.
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
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.
You remember formula (m1)(m2)=-1 to check either lines are perpendicular or not.ok
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