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Use point-slope form to write the equation of a line that passes through the point (-18,10) with slope (11)/(7). Answer:

Use point-slope form to write the equation of a line that passes through the point (−18,10) (-18,10) with slope 117 \frac{11}{7} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (−18,10) (-18,10) with slope 117 \frac{11}{7} .\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:\newliney−y1=m(x−x1)y - y_1 = m(x - x_1)\newlinewhere (x1,y1)(x_1, y_1) is a point on the line and mm is the slope of the line.
  2. Substitute Given Point and Slope: Substitute the given point and slope into the point-slope form. Given point (x1,y1)=(−18,10)(x_1, y_1) = (-18, 10) and slope m=117m = \frac{11}{7}, we substitute these values into the point-slope form equation: y−10=(117)(x−(−18))y - 10 = \left(\frac{11}{7}\right)(x - (-18))
  3. Simplify the Equation: Simplify the equation.\newliney−10=117(x+18)y - 10 = \frac{11}{7}(x + 18)\newlineThis is the equation of the line in point-slope form.

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