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Find the slope of the line passing through each pair of points.$$(0,3) \text { and }(-6,0).$$

$1 / 2$

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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01:01

Find the slope of the line…

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Use the slope formula to d…

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Plot the points and find t…

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for this problem. We've been given two points the 0.3 and negative 60 And our goal is to find the slope of the line that connects those points. So in order to answer this question, we need to have a good understanding of what Slope is. So let's review slope is rise over. Run. Okay, rise is how we're changing vertically up and down. So that is change along the y axis. So our numerator we're looking at the change in our wise run is horizontal movement left to right, That's along the X axis. So where is here looking for our run? We're looking at our change in X now, Mathematically, When we talk about the change in numbers, we're looking at the difference. So this is gonna be a subtraction. Why one minus y two over X one minus X two. Now it does not matter which point you make first and which point you make second. As long as you're consistent, whichever point you pick to get your y coordinate for why one use the same point to get your ex one, So just make sure you're internally consistent. You could pick either point to be one and the other one to be to. So just to make things a little bit simpler, clearer here, I would say the first point. I'm gonna call that 0.0.1. And the second point will be point to nothing special about that. I just find that easier and clearer. What? I'm describing it here. Okay, So difference in my wise. So I go to my first point and pull the y coordinate three minus the second point. Why coordinate which is zero denominator? Start with that same point. One Next coordinate zero minus the white cord. It a point to I'm subtracting a negative six, which is equivalent to adding so that gives me 3/6. Simplified. The line of connecting these two points has a slope of one half.

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