1. ## Write Equation

Hello all,
So I have been writing equations all day using point-slope with parallel line, with 2 sets of points but now I have hit a wall.

Write an equation for the vertical and the horizontal lines that pass through the point (5,1) in x,y coordinates.

2. I'm not sure i understood you right, but from what need i would use
$\displaystyle x=5$
that is the vertical line parallel with the y axis which crosses the x axis in point 5
$\displaystyle y=1$
this is the horizontal line parallel with the x axis which crosses the y axis in point 1.

They both cross in point (5,1)

3. Hello,
Well this is what the question asks:

#58
Write equation for the vertical and horizontal lines passing through the point (5,1) in (x,y) coordinates.

So, I guess I am supposed to write an equation for both lines, I have done a couple of these, but normally I get more then just the (x,y) of one point. Rather every other question gave me either 2 point (x1,y1),(x2,y2) or 1 point and slope. This one completely lost me.

4. I don't know any other way than this one. I've drawn (in paint ) how does it look on a graph.

5. ## I could be wrong....

Well for starters there is the equation in standard form;

Ax+By=C

and then there is the Slope-intercept equation;

Y=Mx+B

as well as this one, the point slope;

Y-Y1=M(X-X1)

But given only one point.........?! well I think you might end up writing it in standard form....

$\displaystyle a5+b1=c$

Unless you are to graph it and your other point might end up being (0,0).....Then again Pinsky could be right all along!!!

I do hope that I have been some sort of help........

6. You want the horizontal line through the point (5, 1).

Please note the following fact: A horizontal line is defined to have a slope of 0. You should know that already.

So
$\displaystyle y = mx + b$ with $\displaystyle m = 0$ becomes:

$\displaystyle y = b$

You are passing the point through (5, 1). Thus
$\displaystyle 1 = b$

So the line is
$\displaystyle y = 1$.

1. The a line perpendicular to a horizontal line is a vertical line.

2. A vertical line has an undefined slope and is of the form x = a[/tex].

We are passing this vertical line through the point (5, 1). So
$\displaystyle 5 = a$

So the line is $\displaystyle x = 5$.

If you don't know those facts you simply can't do the problem. They will be in your text.

-Dan