Linear Equations Part 3

📖Story Brief #118

Linear equations are mathematical statements that show a relationship between two variables using a straight line when graphed.

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Linear equations are mathematical statements that show a relationship between two variables using a straight line when graphed. They typically follow the format y = mx + b, where m represents the slope, and b is the y-intercept. The slope indicates how steep the line is, while the y-intercept tells you where the line crosses the y-axis. For example, in the equation y = 2x + 3, the slope is 2, meaning for every increase of 1 in x, y increases by 2. The y-intercept is 3, which means the line crosses the y-axis at (0, 3). To solve for y when x is 2, you substitute 2 for x: y = 2(2) + 3, resulting in y = 7. This shows how linear equations can be used to find values and understand relationships between variables.

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What does the 'm' in the equation y = mx + b represent?

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