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Okay, so lets say we have y=1/2x – 5, y= -5, y= 1, y=1/2x +1 an we want to find witch one of these lines are parallel. These are written in slope intercept form, so in the first one we know that the slope is a half. (y=mx + b)
In y= -5, the slope is 0
In y= 1, the slope is also zero, so y=-5 and y=1 are both parallel! y= 1 now let’s do the rest…
We already said in y=1/2x – 5, the slope is 0.5 or half, and in y=1/2x +1 half is the slope so , y=1/2x +1 and y=1/2x – 5 are also parallel lines!
If you draw y=1/2x +1 and y=1/2x – 5 on a graph, you’ll find they are both diagonal. y= -5 and y=1 are horizontal.
Easy, right? Wait, this is only the tip of the iceberg...
Parallel lines are everywhere around us, we just never realize it. Here are a couple of examples.
Okay, so lets say we have y=1/2x – 5, y= -5, y= 1, y=1/2x +1 an we want to find witch one of these lines are parallel. These are written in slope intercept form, so in the first one we know that the slope is a half. (y=mx + b)
In y= -5, the slope is 0
In y= 1, the slope is also zero, so y=-5 and y=1 are both parallel! y= 1 now let’s do the rest…
We already said in y=1/2x – 5, the slope is 0.5 or half, and in y=1/2x +1 half is the slope so , y=1/2x +1 and y=1/2x – 5 are also parallel lines!
If you draw y=1/2x +1 and y=1/2x – 5 on a graph, you’ll find they are both diagonal. y= -5 and y=1 are horizontal.
Easy, right? Wait, this is only part A…
Okay, so on our right, we have a parallelogram. What does that mean? It means that the opposite sides are parallel.so the line AB is parallel to the line CD and AD is parallel to BC. Lets say you are asked to prove it. An easy way of doing that is to show that the slopes of the opposite sides are equal. So, you get the slopes of all four lines, and show that they do have the same slope, thus making them parallel. So lets say that point A has points of (-2,3) , B has points of (1,3) C has points of (-1, 0) and D has points of (-4,0). From A to B, if drawn on a graph, you’ll see that it has 0 slope. And from C to D there’s no change in y, making the slope also 0.