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Use point-slope form to write the equation of a line that passes through the point (-7,-18) with slope 3 . Answer:

Use point-slope form to write the equation of a line that passes through the point (−7,−18) (-7,-18) with slope 33 .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (−7,−18) (-7,-18) with slope 33 .\newlineAnswer:
  1. Identify Given Point and Slope: Identify the given point and the slope.\newlineGiven point (x1,y1)(x_{1}, y_{1}): (−7,−18)(-7, -18)\newlineSlope (m)(m): 33\newlinePoint-slope form equation: y−y1=m(x−x1)y - y_{1} = m(x - x_{1})
  2. Substitute Given Point and Slope: Substitute the given point and slope into the point-slope form equation.\newlineUsing the point (−7,−18)(-7, -18) and slope 33, the equation becomes:\newliney−(−18)=3(x−(−7))y - (-18) = 3(x - (-7))
  3. Simplify Equation: Simplify the equation. y+18=3(x+7)y + 18 = 3(x + 7)
  4. Distribute Slope: Distribute the slope on the right side of the equation.\newliney+18=3x+21y + 18 = 3x + 21
  5. Write Final Equation: Write the final equation in point-slope form.\newlineThe final equation of the line in point-slope form is:\newliney+18=3x+21y + 18 = 3x + 21

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