Question

9. Calculate the perpendicular distance from the given point to the given line.

(-1, 1), 3y + 4x = 2​

Answer 1

`1/5`

Explanation:

We remember the distance from point to line formula: Given a line in the form
`Ax+By+C=0` and a point
`(x_(0), y_(0))`, the distance from that point to the line is
`|Ax_(0)+By_(0)+C|/√(A^2+B^2)`.

We first subtract 2 from both sides of the equation to get it in the correct form:
`3y+4x-2=0`. Then, we use the formula.

The distance is
`|3(-1)+4(1)-2|/√(3^2+4^2)=1/5`