Question

9. Calculate the perpendicular distance from the given point to the given line.
(-1, 1), 3y + 4x = 2​

Answer 1

Answer:

$1/5$

Step-by-step 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 $|Ax_{0}+By_{0}+C|/\sqrt{A^2+B^2}$.

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 $|3(-1)+4(1)-2|/\sqrt{3^2+4^2}=1/5$