Term
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Definition
| The x-value or independent variable |
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Term
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Definition
| The x-value or input. This variable does not change based on any other variable. For example, time. We can't freeze time, time goes on regardless of any other variable. |
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Term
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Definition
| The y-value or dependent variable |
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Term
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Definition
| The y-value or output. This variable changes based on the input of other variables. Its value depends on the others. For example, the distance we travel depends on the time we put into the journey. In this example, the distance would be the dependent variable, time would be the independent variable. |
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Term
| Proportional Relationship |
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Definition
| When the ratio of the input (x) and output (y) is constant. In other words, they have the same ratio throughout a table and form a straight line on a graph. |
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Term
| Constant of Proportionality (k) |
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Definition
| The change in y over the change in x, (y/x). Also known as slope or the rate of change. This is the ratio that shows how to variables are proportional. |
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Term
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Definition
| Also known as slope, shows the amount the dependent variable (x) changes compared to the amount the independent variable (y) changes. |
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Term
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Definition
| A rate written in the simplest form. It shows how much the output changes based on an input change of exactly 1. The denominator or bottom number is always 1 in a unit rate. |
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Term
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Definition
| A ratio that describes the direction and steepness of a line. The slope is the same as the constant of proportionality (k) and the rate of change. It the letter (m) and is the rise/run or the change in y over the change in x, (y/x). |
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Term
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Definition
| The point where the line, or any function, crosses the y-axis when graphed on a coordinate plane. It is the letter (b) in the slope-intercept form of linear equations (y=mx+b). When written as a coordinate, the x-value is always 0. |
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Term
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Definition
y = mx + b
A linear equation that uses the slope (m) and y-intercept (b) to describes the constant relationship between the input (x) and the output (y). |
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