Linear Equation Explorer (y = mx + b) Community
Questions, answers and tips from people who use the Linear Equation Explorer (y = mx + b). Change slope and intercept or drag two points to see the line, its equation and intercepts..
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This page shows only real posts from real people, so it starts empty. The guide below has the questions people most often have about the Linear Equation Explorer (y = mx + b). Pick one to start a thread, or write your own.
From the tool guide: common questions about Linear Equation Explorer (y = mx + b)
The items below are not posts by community members. They come from the written guide for this tool and are here to get a conversation started. Use “Ask a follow-up” to open a thread about any of them.
How do I find the slope from two points?
Subtract the y-values and divide by the difference of the x-values: m = (y₂ − y₁) / (x₂ − x₁).
From the tool guide Ask a follow-upWhat does a negative slope mean?
The line goes down as you move right, so y decreases while x increases.
From the tool guide Ask a follow-upKey ideas
- Slope m is rise over run, and b is where the line crosses the y-axis.
- Two points are enough to define a line: m = (y₂ − y₁) / (x₂ − x₁).
- Parallel lines share a slope, and perpendicular slopes multiply to −1.
Things to try
- Set the slope to 0 and then negative.
- Use Two points mode and drag the points.
- Find the x-intercept.
- Make two parallel lines.
Where this is used
Straight-line graphs model speed, cost, temperature conversions and trends in data. Slope and intercept are used everywhere in science and business.
How to ask a question people can answer
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- Say what you tried. List the steps you followed and any settings you changed, so replies do not repeat what you already did.
- Share a small example. A short sample input and the output you saw is worth more than a long description. Remove anything private first.
- Mention your setup. Your device, browser and whether you are on a phone or a computer can explain many odd results.
- One question per thread. Separate topics get clearer answers and are easier to find later with the search box above.
- Come back and reply. If a suggestion worked, say so and upvote it, and if you found the fix yourself, post it for the next person.
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