Find the vertical distance between point, and quation?

[nukeman]

Homework Statement

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

Homework Equations

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 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

Check your arithmetic right there.

 

[nukeman]

Oh...

Is this correct then?

y = -2/5x + 3/5?