Estimate the Ratio of the Rise & Run for Line Segments

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Estimating the ratio of the rise and run for line segments requires you to take a close look at any graph you've been provided. Estimate the ratio of the rise and run for line segments with help from an experienced educator in this free video clip.

Part of the Video Series: Lessons in Math
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Video Transcript

Hi. My name is Marija. I'm a mathematician, and today I'm going to show you how to estimate the ratio of rise over run from line segments. So without specifically calculating the rise over run there are a few things that you can automatically tell from a graph. So I'm going to draw a coordinate plane and we're going to put a line on it and estimate its rise over run. So, one thing that you can tell immediately is if the rise over run is going to be a positive number or a negative number. If your line is going up from left to right, then that means there's a positive slope or a positive rise over run. So because this sign goes upward from left to right, I know that it's going to be a positive slope. Now the other thing that you know about slope is the higher the absolute value of the slope, of the rise over run, the steeper the line is. So the line that I've drawn is going to be pretty close to just a Y equals X sign, where my slope is, an imaginary1, OK. Which means that I'm going to go up 1 over 1, up 1 over 1, up 1 over 1 and stay on my line. If my slope is a lot bigger, for example at the ratio of 3 over 1, then I would be going 1, 2, 3 over 1, 1, 2, 3 over 1, and I would end up with a line that would look like that. That's clearly a lot steeper. So, the other thing you can estimate is if your line is very steep, the slope is higher, and if I was to draw a line that's not so steep, like this one would not be a hard hill to climb, this slope is going to be lower. This slope might be 1/2 or 1/3. My name is Marija and I just showed you how to estimate the rise over run ratio of a line segment.

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