A line with a slope of 1/9 passes through the point (6,7). 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 with a slope of 1/9 passes through the point (6,7). 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 - ______)

Bytelearn · Accepted Answer

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 Given Slope and Point: Substitute the given slope and point into the point-slope form. We are given the slope m = 1/9 and the point (6, 7). Substituting these values into the point-slope form, we get y - 7 = (1/9)(x - 6).Check for Simplification: Check for any simplification needed. In this case, there is no further simplification required, as the slope is already in its simplest form and there are no like terms to combine.

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