Slopes

reardear

New member
Joined
Apr 18, 2012
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39
Hi there, I've been trying to figure this one out but I just can't seem to get it right. It seems really easy, but I haven't been able to get all of them correct. This is what I have so far, they're true and false questions. Any hints?

Slopes.jpg
 
Hi there, I've been trying to figure this one out but I just can't seem to get it right. It seems really easy, but I haven't been able to get all of them correct. This is what I have so far, they're true and false questions. Any hints?

View attachment 2202

The third one is true. It doesn't matter which point we use first, just as long as we're consistent in both the numerator (top) and denominator (bottom). For example, if we have the points (1,2) and (3,4), we can calculate the slope to be

(4-2)/(3-1) = 2/2 = 1

Alternatively, we can calculate

(2-4)/(1-3) = (-2)/(-2) = 1

We get the same slope either way.
 
The third one is true. It doesn't matter which point we use first, just as long as we're consistent in both the numerator (top) and denominator (bottom). For example, if we have the points (1,2) and (3,4), we can calculate the slope to be

(4-2)/(3-1) = 2/2 = 1

Alternatively, we can calculate

(2-4)/(1-3) = (-2)/(-2) = 1

We get the same slope either way.
Wow, I had no idea. I've always learned it the other way and didn't think doing it backwards could work. Thanks a lot! Were the rest of them correct? I have one more shot :D
 
Wow, I had no idea. I've always learned it the other way and didn't think doing it backwards could work. Thanks a lot! Were the rest of them correct? I have one more shot :D

Can you tell me the relationship between the slopes of two lines

when two lines are "coincident" (i.e. one falls on top of the other and are in the same plane).
 
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