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Use point-slope form to write the equation of a line that passes through the point (13,18) with slope (3)/(2). Answer:

Use point-slope form to write the equation of a line that passes through the point (13,18) (13,18) with slope 32 \frac{3}{2} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (13,18) (13,18) with slope 32 \frac{3}{2} .\newlineAnswer:
  1. Point-Slope Form Definition: The point-slope form of a line's equation is given by (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. Substitute Values: Given the point (13,18)(13, 18) and the slope 32\frac{3}{2}, we can substitute these values into the point-slope form equation.\newline(y−18)=(32)(x−13)(y - 18) = \left(\frac{3}{2}\right)(x - 13)
  3. Check Equation: Check the equation for any mathematical errors. The values have been substituted correctly, and the equation is in the correct point-slope form.

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