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Use point-slope form to write the equation of a line that passes through the point (10,10) with slope 4 . Answer:

Use point-slope form to write the equation of a line that passes through the point (10,10) (10,10) with slope 44 .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (10,10) (10,10) with slope 44 .\newlineAnswer:
  1. Identify Given Point and Slope: Identify the given point and slope.\newlineWe are given the point (10,10)(10,10) and the slope (m)(m) is 44.
  2. Recall Point-Slope Form: Recall the point-slope form of a line's equation. The point-slope form is given by (y−y1)=m(x−x1)(y - y_1) = m(x - x_1), where (x1,y1)(x_1, y_1) is a point on the line and mm is the slope.
  3. Substitute Given Point and Slope: Substitute the given point and slope into the point-slope form.\newlineUsing the point (10,10)(10,10) and slope 44, we substitute into the equation:\newline(y−10)=4(x−10)(y - 10) = 4(x - 10)
  4. Check Equation: Check the equation for any simplification or errors.\newlineThe equation (y−10)=4(x−10)(y - 10) = 4(x - 10) is already in the correct form and does not require further simplification.

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