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A line has a slope of 66 and passes through the point (10,9)(10,9). What is its equation in point-slope form?

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Q. A line has a slope of 66 and passes through the point (10,9)(10,9). What is its equation in point-slope form?
  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 yy1=m(xx1)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=6m = 6 and the point (10,9)(10, 9). Substituting these values into the point-slope form, we get y9=6(x10)y - 9 = 6(x - 10).
  3. Check for Simplification: Check for any simplification needed.\newlineIn this case, there is no simplification needed because the equation y9=6(x10)y - 9 = 6(x - 10) is already in the correct form.

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