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what is the slope of the line y−4=−7(x−6)y-4=-7(x-6)

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Full solution

Q. what is the slope of the line y−4=−7(x−6)y-4=-7(x-6)
  1. Identify equation of line: Identify the equation of the line.\newlineThe given equation is y−4=−7(x−6)y - 4 = -7(x - 6). This is in the point-slope form of a line, which is y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is a point on the line.
  2. Compare with point-slope form: Compare the given equation with the point-slope form. By comparing y−4=−7(x−6)y - 4 = -7(x - 6) with y−y1=m(x−x1)y - y_1 = m(x - x_1), we can see that the slope mm of the line is the coefficient of (x−x1)(x - x_1), which in this case is −7-7.
  3. State slope of line: State the slope of the line.\newlineThe slope of the line is −7-7.

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