In the xy - plane , the equation of line p is y =2x +5. If line m is the reflection of the line p in the x axis, what is the equation of line m?
I am not sure what reflection means, is it the line who intersects from the opposite direction? help!!
thank you
2006-09-13 10:20:05 · 9 answers · asked by Nif 2 in Science & Mathematics ➔ Mathematics
well if you flip it over the x axis, then the y intercept is -5 and the line would be a negative slope, so hmmmmmmmm... it is y= -2x-5. From a geometry standpoint, line m can also be called line p'.
A reflection over the x axis means that if you had it on paper and you folded it along the x axis, the reflection is where the original line touches the other half of the paper.
2006-09-13 10:29:56 · answer #1 · answered by kc9joc 2 · 0⤊ 0⤋
Here is an example of the reflection
line a
\
line b
/
The reflection is a line with the same slope, but on the other side of the axis. The value is the same but the pole (+ or -) is opposite... and thus, y = -2x +5 will make a reflection. So that is what P is. Draw it and see. When you draw the two lines it should make a big X.
--just as a note: the slope comes from the part of the equation where the "x" is.
2006-09-13 10:23:23 · answer #2 · answered by Commando Commandah 4 · 0⤊ 0⤋
Reflection refers to it's mirror image on an axis, in this case the x axis.
the equation in this case for line m would be:
-y=-2x-5
2006-09-13 10:32:32 · answer #3 · answered by Larry J 1 · 1⤊ 0⤋
the x line goes from left to right. Line M would then be a mirror image of line p. i think so then you start with 1 on the x line and find out what the y is and then work out the equation from there. If you dont understand ask your teacher if you dont get it.
2006-09-13 10:25:14 · answer #4 · answered by Hannie S 3 · 0⤊ 0⤋
yes reflection will be the point where the slope is opposite so the equation will be y=-2x+5 ok
2006-09-13 10:54:12 · answer #5 · answered by Kalki4Ever 1 · 0⤊ 0⤋
http://i2.photobucket.com/albums/y16/zorro1267/reflection.gif
This picture shows the reflection of the line in the x-axis
2006-09-13 10:36:34 · answer #6 · answered by z_o_r_r_o 6 · 0⤊ 0⤋
reflection is the shadow of the line
2006-09-13 10:22:21 · answer #7 · answered by whitesilk 3 · 0⤊ 0⤋
y= -2x-5
2006-09-13 10:31:11 · answer #8 · answered by sam 2 · 0⤊ 0⤋
m is y=-2x-5
2006-09-13 10:23:49 · answer #9 · answered by VanessaM 3 · 0⤊ 0⤋