In the linear equation y = mx + b, what does b represent?

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Multiple Choice

In the linear equation y = mx + b, what does b represent?

Explanation:
b represents the y-intercept. In y = mx + b, if you plug in x = 0, you get y = m·0 + b = b, so the line crosses the y-axis at the point (0, b). This value shifts the line up or down without changing its slope, which is determined by m (the rise over run). The x value is the input for x, not the intercept, and “intercept ratio” isn’t a standard term here.

b represents the y-intercept. In y = mx + b, if you plug in x = 0, you get y = m·0 + b = b, so the line crosses the y-axis at the point (0, b). This value shifts the line up or down without changing its slope, which is determined by m (the rise over run). The x value is the input for x, not the intercept, and “intercept ratio” isn’t a standard term here.

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