Question

A line with slope -3/4 passes through the point (5/3 -5/4) what is the distance between this line and the point (1, 1/2)?

Answer 1

1

Explanation:

The equation of the line is

`y+(5)/(4)=-(3)/(4)\left(x-(5)/(3) \right) \\ \\ y+(5)/(4)=-(3)/(4)x+(5)/(4) \\ \\ y=-(3)/(4)x \\ \\ 3x+4y=0`

Using the perpendicular distance formula,

`d=(|(3)(1)+(4)(1/2)+0|)/(√(3^2+4^2))=1`