In Exercises 37–40, find the slope of the line passing through ea...

Question

In Exercises 37–40, find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-1, -2) and (-3, -4)

Accepted Answer

Welcome back. I'm so glad you're here. We are identifying the slope of a line. What do we know about it? We know it passes through these two points negative six. Negative three and two negative five. And then after we've done that we need to identify the orientation of the line. So what we want to recall first from previous lessons is that the slope or the M. Is calculated with Y two minus Y. One over X two minus X one. Now we could choose either set of points to be one and two. But we'll just go in the order that they have and will say that this negative six will be our X. One, negative three will be our Y. One and that too will be our X. Two and negative five will be R. Y. Two. And now we're just going to plug them back in. So why two? That was negative five minus Y. One. That's negative three over X two is two minus X one is negative six and will simplify that negative five minus negative three is negative five plus three which is negative two. Two minus negative six is the same as two plus six which is eight. So native to over eight is simplified to negative 1/4 and we know that any slope that's negative is going to be falling. So we look at our answer choices and that matches answer choice. C Well done. You've done it, we'll catch you on the next one

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