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

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Multiple Choice

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

Explanation:
In slope-intercept form y = mx + b, b is the y-intercept. It tells you where the line crosses the y-axis. When x is zero, y equals b, so the intercept is the point (0, b). This means b sets the vertical position of the line without changing its tilt, which is determined by the slope m. If you want the x-intercept, you’d set y to zero and solve 0 = mx + b, giving x = -b/m (assuming m isn’t zero). The diameter isn’t related to a straight line’s equation. For example, y = 3x + 4 crosses the y-axis at (0, 4).

In slope-intercept form y = mx + b, b is the y-intercept. It tells you where the line crosses the y-axis. When x is zero, y equals b, so the intercept is the point (0, b). This means b sets the vertical position of the line without changing its tilt, which is determined by the slope m. If you want the x-intercept, you’d set y to zero and solve 0 = mx + b, giving x = -b/m (assuming m isn’t zero). The diameter isn’t related to a straight line’s equation. For example, y = 3x + 4 crosses the y-axis at (0, 4).

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