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Find the slope of the line passing through each pair of points.$$(1,-5) \text { and }(2,-5).$$

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Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Campbell University

Oregon State University

Harvey Mudd College

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, one negative five and to negative five. And our goal is to find the slope of the line that connects these points together well. In order to answer this, we really have to have a good idea of what Slope is. Let's take a step back and review what slope is slope, which we usually abbreviate Within M is rise over, Run will rise. Is my vertical movement up and down along the Y axis? So rise is how the y value is changing the change And why run is the change in X is our horizontal change along the X axis We have changed in why over change in X now in math, when we talk about change, have our numbers changing. We're talking about the difference between numbers. That's a subtraction. So my change and why will be why one minus y to my change in X is X one minus x two. It doesn't matter which point you designate to be 0.0.1 and which one is point to. As long as you're consistent, Whichever point you go to to get your why one you go to the same point to get your ex one. So for this problem, just so we're clear, I'm just gonna make the first point. B 0.0.1 second point will be point to that way you can see for sure that I'm going to the same point each time. Okay, let's find the slope for this particular problem. The Y coordinate from my first point is negative five. And I'm going to subtract the y coordinate from our second point, which is also negative five. So subtracting a negative means I'll be adding my denominator. I go back to my first point, the x coordinate, this one minus the x coordinate from point to which is to so that's going to give me a zero over a negative one. Well, zero over anything, as long as it's not over 00 over anything. Zero. So the slope of the line connecting these two points equals zero

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