In the equation y = mx + b, what does the value b denote?

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Multiple Choice

In the equation y = mx + b, what does the value b denote?

Explanation:
In y = mx + b, the number b is the y-intercept—the value of y when x is 0. Graphically, it’s where the line crosses the y-axis, at the point (0, b). The slope m controls how steep the line is, while b shifts the line up or down on the graph. The x-intercept would come from solving 0 = mx + b, which depends on both m and b, and the distance from the origin isn’t given by b alone.

In y = mx + b, the number b is the y-intercept—the value of y when x is 0. Graphically, it’s where the line crosses the y-axis, at the point (0, b). The slope m controls how steep the line is, while b shifts the line up or down on the graph. The x-intercept would come from solving 0 = mx + b, which depends on both m and b, and the distance from the origin isn’t given by b alone.

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