A line has a slope of 1/3 and passes through the point (9,6). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. y - ______ = ______(x - ______)

Question

A line has a slope of 1/3 and passes through the point (9,6). What is its equation in point-slope form?  Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. y - ______ = ______(x - ______)

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Identify Point-Slope Form: Identify the point-slope form of a linear equation. The point-slope form of a linear equation is given by the formula y - y_1 = m(x - x_1), where m is the slope of the line and (x_1, y_1) is a point on the line.Substitute Slope and Point: Substitute the given slope and point into the point-slope form. We are given the slope m = 1/3 and the point (9, 6). Substituting these values into the point-slope form, we get y - 6 = (1/3)(x - 9).Check for Simplification: Check for any simplification needed. In this case, there is no further simplification required, as the slope is already given as a fraction and the point coordinates are integers.

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