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Find the slope of the line passing through each pair of points.$$(1 / 2,16) \text { and }(1 / 2,-73).$$

no slope

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

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've been given two points the 0.1 half 16 and the 0.1 half negative. 73. Our goal for this problem is to find the slope of the line that connects these two points together well. In order to answer this, we really have to have a good understanding of what slope is. So let's review slope, which we usually abbreviate with an M, is best remembered by rise, overrun, rise That's your up and down movement, that vertical movement along the Y axis. So your rise is your change in Why run is your change in X? That's your horizontal movement left to right. So I have change and why over my change in X in math, when we talk about change, that's a subtraction. It's the difference between your numbers. So the change and why would be why one minus y two, the change in X would be X one minus x two. It doesn't matter which point you designate to be 0.0.1 in which one is point to. But you do have to be consistent, which ever point. You get why one from you have to use the same point to get X one. So for this problem, I'll just be nice and clear and label my points. I'm going to call the first point point one and the second point point to again. I could flip thes, but this is how I'm going to use it for this problem. So let's find our slope change and why? So go to the first point. The y coordinate from the first point minus the y coordinate from the second point, some subtracting and negative 73 which is the same, is adding denominator. Again. I go to the first point. I take the X coordinate and subtract of second X coordinate. Well, my numerator is 89 but my denominator is zero. I cannot divide by zero. So this line has no slope? No, Be very careful. This is not a zero slope. You can Zero is a value. There is no slope here. This slope is undefined. Okay, so the slope does not exist on this line.

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