There is a line that includes the point (9,-8) and has a slope of 1/3. 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

There is a line that includes the point (9,-8) and has a slope of 1/3. 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 Point and Slope: Substitute the given point and slope into the point-slope form. We are given the point (9, -8) and the slope 1/3. Substituting these values into the point-slope form, we get y - (-8) = (1/3)(x - 9).Simplify Equation: Simplify the equation. Simplifying the left side of the equation by removing the parentheses around -8, we get y + 8 = (1/3)(x - 9). This is the equation of the line in point-slope form.

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