In Exercises 1–10, find the slope of the line passing through eac...

Question

In Exercises 1–10, 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. (-2, 1) and (2, 2)

Accepted Answer

Hey everyone here we are asked to find the slope and indicate the behavior of the line which passes through the points negative 47 and negative 1, 10. So all we have to do is recall our slope formula which tells us that slope m is equal to the quantity of Y sub two minus Y sub one divided by the quantity of X sub two minus X sub one. And next we just have to indicate which point will be X sub one, Y sub one or X sub two. Y sub two. And so I'm going to let the first point be the X sub one, Y sub one which means the second point must be the X sub two Y sub two. And just to know it doesn't matter which point is assigned to which. But moving on we can plug in this information into the slope formula. So in the numerator we have Y sub two which is 10 minus Y sub one which is seven in the denominator we have X sub two which is negative one minus X. Sub one which is negative four. Simplifying this we get 10 minus seven which is three divided by negative one minus negative four which is also divided by three just gives us one. So our slope here is one and we need to note that the slope is positive which tells us that the line rises. So our answer here is choice E with a slope of one indicating that the line rises. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

In Exercises 1–10, 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. (-2, 1) and (2, 2)

Key Concepts

Slope of a Line

Undefined Slope

Line Orientation

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