What is the equation of a line that passes through the point (10, 5) and is perpendicular to the line whose equation is y=5/4 x-2?

Hey there :)


Slope is the coefficient of x ⇒ 

If the second line is perpendicular to the given line, then the slope of the 2nd line is the reverse/reciprocal of the 1st line ⇒ 

(10, 5)
  ↑  ↑
  x₁ y₁

Point-slope form is ( y - y₁ ) = m ( x - x₁ )

y - 4 =  ( x - 10 )
y - 4 =  - 8

y =  ⇔ The equation of the line that passes through the point (10,5) ans perpendicular to the given line