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A line with a slope of 88 passes through the point (−6,10)(-6,10). 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 - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)

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Q. A line with a slope of 88 passes through the point (−6,10)(-6,10). 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 - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)
  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=8m = 8 and the point (−6,10)(-6, 10). Substituting these values into the point-slope form, we get y−10=8(x−(−6))y - 10 = 8(x - (-6)).
  3. Simplify Equation: Simplify the equation.\newlineSimplify the equation by distributing the slope and removing the double negative in x−(−6)x - (-6) to get y−10=8(x+6)y - 10 = 8(x + 6).

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