A line with a slope of -1/4 passes through the point (4,-9). 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 -1/4 passes through the point (4,-9). 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 Slope and Point: Substitute the given slope and point into the point-slope form. We are given the slope m = -1/4 and the point (4, -9). Substituting these values into the point-slope form, we get y - (-9) = (-1/4)(x - 4).Simplify Equation: Simplify the equation. Simplifying the left side of the equation by removing the parentheses around -9, we get y + 9 = (-1/4)(x - 4).

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