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A line that includes the point (−10,4)(-10,4) has a slope of −18-\frac{1}{8}. What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−y - ______= = ______(x−(x - ______))

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Q. A line that includes the point (−10,4)(-10,4) has a slope of −18-\frac{1}{8}. What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−y - ______= = ______(x−(x - ______))
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlinePoint-slope form is given by the equation y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope of the line and (x1,y1)(x_1, y_1) is a point on the line.
  2. Substitute Point and Slope: Substitute the given point and slope into the point-slope form.\newlineWe have the point (−10,4)(-10, 4) and the slope −18-\frac{1}{8}. Substituting these values into the point-slope form, we get:\newliney−4=(−18)(x−(−10))y - 4 = \left(-\frac{1}{8}\right)(x - (-10))
  3. Simplify the Equation: Simplify the equation.\newlineSince x−(−10)x - (-10) is equivalent to x+10x + 10, we can rewrite the equation as:\newliney−4=(−18)(x+10)y - 4 = \left(-\frac{1}{8}\right)(x + 10)\newlineThis is the equation of the line in point-slope form.

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