Respuesta :

mhanifa

Answer:

  • 4.75 units

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Given

  • Point C(4, 3) and line y = 9x + 10

Find the distance from the point to the line.

General form of a line:

  • ax + by + c = 0

Convert the given line equation:

  • y = 9x + 10 ⇒ 9x - y + 10 = 0

Formula for the distance from the point (x₁, y₁) to the line ax + by + c = 0:

  • [tex]d=\cfrac{|ax_1+by_1+c|}{\sqrt{a^2+b^2} }[/tex]

Substitute and calculate:

  • [tex]d=\cfrac{|9*4-1*3+10|}{\sqrt{9^2+(-1)^2} }=\cfrac{|43|}{\sqrt{82} } \approx 4.75 \ units[/tex]