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Find the slope of the line passing through each pair of points.$$(-1 / 3,2 / 3) \text { and }(0,0).$$

-2

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Campbell University

Harvey Mudd College

Baylor University

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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Use the slope formula to f…

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for this problem. We've been given two points the point negative one third, two thirds and the 0.0 Our goal here is to find the slope of the line that connects these points together. In order to answer this, we have to have a good understanding of what slope is. Slope, which we usually abbreviate with an M is usually thought of as rise over run well rises your vertical movement up and down along the Y axis. So rise is really your change. And why that vertical change run is your horizontal change along the X axis as you go left and right, So run is your change in X now in math, when we talk about a change in a number, that's a subtraction is a difference. So I change in. Why would be why one minus y to buy change in X is X one minus X two. Now it doesn't matter which point you designate is 0.0.1, and which one you say is 10.2. But you have to be consistent, which ever point You get your why one from you need to use the same point to get your ex one from So just to be very clear here, I could pick either one. But I'm just gonna be nice and clear. I'm gonna say the first point is 10.0.1, and the second point is point to So let's find the slope connecting these particular points. I go to my first point and take the Y value two thirds minus zero. That's my Y two back to that same first point I take my ex value negative one third minus my ex to which again is zero. Having 00 makes this math quite easy because that just gives me two thirds over negative one third. If I multiply top and bottom by three, this simplifies down to just negative, too. So the slope between of the line between these points equals negative, too.

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