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A line with a slope of 88 passes through the point (−8,2)(-8,2). 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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Point-slope form: write an equationright chevron icon

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Q. A line with a slope of 88 passes through the point (−8,2)(-8,2). 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 (−8,2)(-8, 2). Substituting these values into the point-slope form, we get y−2=8(x−(−8))y - 2 = 8(x - (-8)).
  3. Simplify Equation: Simplify the equation.\newlineSimplify the equation by distributing the slope and combining like terms if necessary. In this case, we need to simplify the expression x−(−8)x - (-8) to x+8x + 8. The equation becomes y−2=8(x+8)y - 2 = 8(x + 8).

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