How do you find the slope of # (-3, 10), (-3, 7) #?

Answer 1

The slope is undefined.

To find the slope with two points, you can use the formula #m = (y2-y1)/(x2-x1)# where m is slope, x1 and y1 are the x and y of one point, and x2 and y2 are the x and y of the other point.

Since #m = 3/0#, it is not possible to divide by zero, resulting in an undefined slope.

Another way to look at this would be as a graph, where you could imagine the line going vertically between the two points because the x remains constant. (In addition, you can't time travel (if x was time).)

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Answer 2

Eva Adamson

To find the slope between two points, you use the formula: slope = (change in y) / (change in x). In this case, since the x-values are the same, the change in x is 0. Therefore, the slope is undefined.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.