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Find the slope of the line passing through each pair of points.$$(-1 / 4,2 / 5) \text { and }(0,0).$$

$-8 / 5$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Campbell University

Harvey Mudd College

Baylor University

Idaho State 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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Plot the pair of points an…

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for this problem. We have been given two points. Our first point is negative one quarter 2/5 and our second point is the origin 00 We have a line that goes through both of these points, and the goal of this problem is to find the slope off the line that connects them. So let's take a moment and review What slope ISS Slope, which we usually abbreviated as M, is rise over run rise is how fast I'm rising and falling up and down. So that is looking at the change in my Y values. Run is side to side motion. So in that case, I'm looking at how my ex values are changing in math terms. When we're looking at the change between two numbers, that's a difference. That's a subtraction. So my change and why would be the difference? The subtraction between two y coordinates and the change in X would also be a subtraction x one minus X two. Now it does not matter. Which point you say is 0.0.1. In which point you say is point to a zoo. Long is your consistent. You want whichever point you pick as why one you want to take the corresponding X coordinate to be X one? Don't switch them around for this problem. I'm going to stake. The first point is 0.0.1. The second point is point to again you'll get the same answer. If you flip those, just be consistent. So let's take a look at our slope for this particular problem. I want to take the difference of my Y coordinates. So that's gonna be to fifth minus zero difference in my X coordinates. Negative 1/4 minus zero. Well, the math here is pretty nice, because I'm not actually subtracting anything in zero in both cases. So that's gonna be 2/5 divided by negative 1/4. And to simplify this, remember, we divide fractions. It's the same as multiplying by the reciprocal of that denominator, so divided by a negative 1/4 is the same as multiplying by negative four. And doing that multiplication out gives me a slope of negative eight fists

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