write the equations in standard form of the horizontal and vertical lines that pass through the point
1. (2,4)
2. (-5, 4)
Oh, come ON! This one's a no-brainer. You could do it in your sleep, if you're the same rachel who posted earlier today :-)
Draw the axes.
Draw the point (2,4).
Draw a horizontal (across) line through it. What value of y does every point on that line have? So the equation is :
y = what?
Draw a vertical (up-down) line through it. What value of x does every point on that line have? So the equation is :
x = what?
I'm feeling horrible for not being able to do this. [I am the old rachel :(]
could you explain it again? <ashamed>
okay.. i get it
i misunderstood your post..
thanks a lott xxx (=
It was just too easy for you!
That happens quite a lot. To everyone, especially me. :-) I look at a problem and think "I don't get it", and 10 minutes later when I'm thinking about something else, I get the "DOH!". Me and Homer Simpson. And now you, too.
I'm sorry I made you feel bad; I just knew you'd see it easily when you looked at it the right way. I had confidence in you.
To find the standard form equation of a horizontal or vertical line, we need to understand the characteristics of these types of lines.
1. Equation of a Horizontal Line:
A horizontal line has a constant y-coordinate. Therefore, any point on a horizontal line will have the same y-coordinate. Let's consider the point (2,4).
The equation of a horizontal line passing through the point (a, b) is:
y = b
So, the equation of a horizontal line passing through (2,4) is:
y = 4
2. Equation of a Vertical Line:
A vertical line has a constant x-coordinate. This means that any point on a vertical line will have the same x-coordinate. Let's consider the point (-5,4).
The equation of a vertical line passing through the point (a, b) is:
x = a
Therefore, the equation of a vertical line passing through (-5,4) is:
x = -5
In conclusion, the equation of a horizontal line passing through (2,4) is y = 4 and the equation of a vertical line passing through (-5,4) is x = -5.