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Use point-slope form to write the equation of a line that passes through the point 
(18,14) with slope 
-(12)/(7).
Answer:

Use point-slope form to write the equation of a line that passes through the point (18,14) (18,14) with slope 127 -\frac{12}{7} .\newlineAnswer:

Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (18,14) (18,14) with slope 127 -\frac{12}{7} .\newlineAnswer:
  1. Recall Point-Slope Form: Recall the point-slope form of a line's equation. The point-slope form of a line's equation is given by yy1=m(xx1)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. Identify Slope and Point: Identify the slope mm and the point (x1,y1)(x_1, y_1) through which the line passes.\newlineThe slope is given as m=127m = -\frac{12}{7}, and the point is (x1,y1)=(18,14)(x_1, y_1) = (18, 14).
  3. Substitute into Equation: Substitute the slope and the point into the point-slope form equation.\newlineUsing the point-slope form, yy1=m(xx1)y - y_1 = m(x - x_1), we substitute m=127m = -\frac{12}{7} and (x1,y1)=(18,14)(x_1, y_1) = (18, 14) to get the equation of the line.\newliney14=127(x18)y - 14 = -\frac{12}{7}(x - 18)
  4. Check for Errors: Check the equation for any mathematical errors.\newlineThe equation y14=127(x18)y - 14 = -\frac{12}{7}(x - 18) correctly substitutes the slope and the point into the point-slope form. There are no mathematical errors.

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