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write an equation in slope intercept form having the given slope that contains the given point the slope is 1 2 contains t

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Write an equation in slope intercept form having the given slope that contains the given point the slope is -1/2 contains the point (2,-2)

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Answer to a math question Write an equation in slope intercept form having the given slope that contains the given point the slope is -1/2 contains the point (2,-2)

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101 Answers

1. Start with the point-slope form:

y - y_1 = m(x - x_1)

y - (-2) = -\frac{1}{2}(x - 2)

3. Simplify the equation:

y + 2 = -\frac{1}{2}x + 1

4. Solve for \( y \):

y = -\frac{1}{2}x + 1 - 2

5. Combine like terms:

y = -\frac{1}{2}x - 1

The equation in slope-intercept form is:

y = -\frac{1}{2}x - 1

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