In a linear function, adding a constant to the output changes slope how?

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Multiple Choice

In a linear function, adding a constant to the output changes slope how?

Adding a constant to the output is a vertical shift, so the line moves up or down without changing its tilt. If a linear function is y = mx + b, adding a constant c gives y' = mx + (b + c). The slope is the coefficient of x, which is m, and that value stays the same. So the slope remains unchanged. Conceptually, vertical shifts don’t affect how y changes as x changes, only where the line sits on the plane.

Adding a constant to the output is a vertical shift, so the line moves up or down without changing its tilt. If a linear function is y = mx + b, adding a constant c gives y' = mx + (b + c). The slope is the coefficient of x, which is m, and that value stays the same. So the slope remains unchanged. Conceptually, vertical shifts don’t affect how y changes as x changes, only where the line sits on the plane.

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