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A line with a slope of 33 passes through the point (−3,−3)(-3,-3). 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 33 passes through the point (−3,−3)(-3,-3). 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=3m = 3 and the point (−3,−3)(-3, -3). Substituting these values into the point-slope form, we get y−(−3)=3(x−(−3))y - (-3) = 3(x - (-3)).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the equation, we get y+3=3(x+3)y + 3 = 3(x + 3). This is the equation of the line in point-slope form.

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