Question

Calculate the distance from the point C(4;3) to the line y = 9x + 10

please help me as fast as possible!​

Answer 1

• 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:

• 
  `d=\cfracax_1+by_1+c{√(a^2+b^2) }`

Substitute and calculate:

• 
  `d=\cfrac{√(9^2+(-1)^2) }=\cfrac43{√(82) } \approx 4.75 \ units`