Direct variation is a mathematical relationship where two variables increase...
Algebra 180 views·Updated Jul 30, 2026·1 pageUnderstanding Direct Variation in Algebra 1
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Direct Variation
Direct variation occurs when two variables grow larger or smaller together at a consistent rate. The equation that represents this relationship is y = kx, where k is called the constant of variation and is never equal to zero.
To solve direct variation problems, you need to find the constant k using given values, then substitute this constant into the equation. For example, if x and y vary directly and y = 10 when x = 2, you can find k by solving 10 = k(2), which gives k = 5. The equation becomes y = 5x, allowing you to find y for any value of x.
Let's look at another example: if y = 27 when x = 3, then 27 = k(3), so k = 9 and the equation is y = 9x. When x = 6, you can calculate that y = 54. Similarly, if y = 2 when x = 10, then k = 1/5 and the equation becomes y = x.
💡 Remember that direct variation always creates a straight line passing through the origin (0,0) on a graph. The constant k represents the slope of this line.
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Algebra 180 views·Updated Jul 30, 2026·1 pageUnderstanding Direct Variation in Algebra 1
lori@vvlvvrs
Direct variation is a mathematical relationship where two variables increase or decrease together at a constant rate. This relationship is expressed through a specific equation formula and helps us predict how changes in one variable affect another.
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Direct Variation
Direct variation occurs when two variables grow larger or smaller together at a consistent rate. The equation that represents this relationship is y = kx, where k is called the constant of variation and is never equal to zero.
To solve direct variation problems, you need to find the constant k using given values, then substitute this constant into the equation. For example, if x and y vary directly and y = 10 when x = 2, you can find k by solving 10 = k(2), which gives k = 5. The equation becomes y = 5x, allowing you to find y for any value of x.
Let's look at another example: if y = 27 when x = 3, then 27 = k(3), so k = 9 and the equation is y = 9x. When x = 6, you can calculate that y = 54. Similarly, if y = 2 when x = 10, then k = 1/5 and the equation becomes y = x.
💡 Remember that direct variation always creates a straight line passing through the origin (0,0) on a graph. The constant k represents the slope of this line.
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
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