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Find the slope of the line passing through the pair of points.$$(2,-1),(-2,1)$$...

Question

Find the slope of the line passing through the pair of points.$$(2,-1),(-2,1)$$

Find the slope of the line passing through the pair of points. $$(2,-1),(-2,1)$$



Answers

Find the slope of the line passing through the pair of points. $$(2,-1),(-2,1)$$

So if we want to find the slope Ah, using these two points again, we're going to use Swope equals change. And why over change in X or we can read. This is why two minus y one over x two minus x one. And these are our this so that were given to ordered pairs. This is like our X one comma y one and then this pair for two is like our x two comma y two. So we just plug in the numbers. So my Y two here is to minus my y two by y one is too divided by X two is four minus X one is too. So if we simplify the numerator and denominator, we get zero over to zero. Divided by two is just zero. So zero is our soap here.

Okay. We want to find the slope between these two points. Your slope on a graph is rise over run. Which means it's the difference in your Y values over the difference in your ex values. So I'm gonna choose to label this point as X one y one. And this point is X to white to you could have done, um, you could have swapped those, though as long as you're consistent, it doesn't matter which point you pick is which. So for me picking those, I would have one minus two over negative five minus and negative, too. That's negative. One over on the bottom. That's really negative. Five plus two, which is negative. Three. So negative one over negative three is positive 1/3.

We need to find out the slope off the lane that passes through the point minus two. Coma, eighth on Vulcan Comma, My emissary for any gear into points. The slope off the line is given by the formula and musical to vital minus Vibe one divided by extra, minus excellent. Let the first point B excellent call my wife and the second flying B Extra Coma. Why substitute the values in the formula? We will get minus seven minus eight, divided by one minus off minus two. Off this simplification, we would get minus Fife does the slope off the line is minus faith.

So we have these two ordered pairs and we want to find the slope. So the first thing we need to do is level are points. So there's this X one y one and this is X to Y two floor slopes is why I, too love, is what I want all over x to minus excellent. They will have We live in seven minus four seven all over 7 30 minus 2/3. So on top will have seven divided by seven. And on the bottom, who has the room on the top? We have one and on the bottom will have zero. Now whenever we have a zero in the denominator, our slow is infinity. This is different from Lynn. We have zero on top and any number on the bottom. Let's say soup they're slow would be zero. But in this case are zero is on the bottom. Therefore, our slope is infinity


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