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Use point-slope form to write the equation of a line that passes through the point (19,7) with slope 2 . Answer:

Use point-slope form to write the equation of a line that passes through the point (19,7) (19,7) with slope 22 .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (19,7) (19,7) with slope 22 .\newlineAnswer:
  1. Recall Point-Slope Form: Recall the point-slope form of a line's equation.\newlineThe point-slope form of a line's equation is given by y−y1=m(x−x1) y - y_1 = m(x - x_1) , where m m is the slope and (x1,y1) (x_1, y_1) is a point on the line.
  2. Identify Slope and Point: Identify the slope m m and the point (x1,y1) (x_1, y_1) .\newlineFrom the problem, we have the slope m=2 m = 2 and the point (x1,y1)=(19,7) (x_1, y_1) = (19, 7) .
  3. Substitute into Equation: Substitute the slope and point into the point-slope form equation.\newlineUsing the slope m=2 m = 2 and the point (19,7) (19, 7) , we substitute into the point-slope form to get y−7=2(x−19) y - 7 = 2(x - 19) .
  4. Check for Errors: Check the equation for any mathematical errors.\newlineThe equation y−7=2(x−19) y - 7 = 2(x - 19) correctly represents the line with slope 22 passing through the point (1919,77) in point-slope form.

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