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Find the slope of the line passing through each pair of points.$$(12,16) \text { and }(12,-73).$$

no slope

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

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Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Find the slope of the line…

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for this problem. We have been given two points the points 12 16 and the 0.12 negative 73. Our goal is to find the slope of the line that connects these two points. So in order to solve this, we need to understand what slope is. So let's review slope, which we usually abbreviate with an M slope equals rise over. Run. Now rise Is your movement vertically up and down. So that is your change in your Y values. Your run is your side to side your left to right movement. So that's change along the X axis. So where they were looking at the change in X in math and we talk about the change in numbers. That's a subtraction is the difference between our numbers. So I'm gonna do a subtraction in the numerator to subtract my wise and the denominator. I'm going to subtract my exes. It truly doesn't matter. Which point you say is 0.0.1 in which one you say is point to as long as you're consistent. That first the why one of the X one have to come from the same point. It could be either point but be consistent and make sure you're pulling from the same point for those first two numbers there. So for this problem, I'm just going to call the first point point one and the second point point to again. I could have reversed. Um, but I'm just going to take him and wanted to just I think it's a little bit clearer that way. Okay, so let's find the slope between these two points, the difference in my wise, I'm going to start with why one which is 16 minus my second. Why? Which is negative. 73. Subtracting a negative. He's gonna be adding 73. And now the difference in my exes. I have 12 minus 12. Well, my numerator is five. That gives me 89. My denominator, though, is zero. I can't divide by zero. Therefore, this has no slope, not a slope of zero. It truly has no slope. The slope is undefined for this problem.

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