In slope-intercept form y = mx + b, what does b represent?

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Multiple Choice

In slope-intercept form y = mx + b, what does b represent?

Explanation:
In y = mx + b, the number b tells you where the line crosses the y-axis—the y-intercept. It is the y-coordinate when x is 0, so the line passes through the point (0, b). If b is positive, the line crosses above the origin; if negative, below it. The slope m controls how steep the line tilts, while the x-intercept is found by solving y = 0, which gives x = -b/m (when m ≠ 0). So b is specifically the y-intercept.

In y = mx + b, the number b tells you where the line crosses the y-axis—the y-intercept. It is the y-coordinate when x is 0, so the line passes through the point (0, b). If b is positive, the line crosses above the origin; if negative, below it. The slope m controls how steep the line tilts, while the x-intercept is found by solving y = 0, which gives x = -b/m (when m ≠ 0). So b is specifically the y-intercept.

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