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A line with a slope of 18\frac{1}{8} passes through the point (−7,9)(-7,9). 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−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

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Q. A line with a slope of 18\frac{1}{8} passes through the point (−7,9)(-7,9). 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−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlineThe point-slope form of a linear equation is given by the formula 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 Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=18m = \frac{1}{8} and the point (−7,9)(-7, 9). Substituting these values into the point-slope form, we get:\newliney−9=(18)(x−(−7))y - 9 = \left(\frac{1}{8}\right)(x - (-7))
  3. Simplify the Equation: Simplify the equation.\newlineSince x−(−7)x - (-7) is equivalent to x+7x + 7, we can rewrite the equation as:\newliney−9=(18)(x+7)y - 9 = \left(\frac{1}{8}\right)(x + 7)\newlineThis is the equation of the line in point-slope form.

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