# Find the vertical distance between point, and quation?

## Homework Statement

What is the vertical distance between the point A(−2,−3) and the line 2x+5y=3.

## The Attempt at a Solution

Here is what I did: I know its wrong.

First, changed the equation into proper form:

y = 2/5x - 3/5

Plotted the equation....

Then, I drew in the point (-2,-3). Then drew line from point, vertically to the line, just as a graphical representation.

so from the line, x = -2

So, If x = -2, then y would equal -1.4

So, then I put this into the distance formula:

$\sqrt{}(-2 - (-2))^2 + (-1.4 - (-3))^2$

Which gave me 1.6

LCKurtz
Homework Helper
Gold Member

## Homework Statement

What is the vertical distance between the point A(−2,−3) and the line 2x+5y=3.

Here is what I did: I know its wrong.

First, changed the equation into proper form:

y = 2/5x - 3/5