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Hi everyone! My pen name is Hannah and I am a 17-year-old girl. I like languages, friends, cats, and many other things. I really love giving advice, and I am studying psychology now. My favorite questions have to do with mental health. As I said above, I am taking psychology classes now, but I also do a lot of outside research, so chances are that if you say something to me about a disorder or anything like that, I will know what you are talking about. Although I am not a licensed psychologist, I hope to someday be one and I would love to get some practice here.

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advice

I have no idea what to do for these questions: HELP!

"Perpendicular to 2x + y = 4 with an x-intercept -1"
What do you do?

And for
"Perpendicular to x + 2y = 8 and has y-intercept 4"

"with x-intercept -1/2 and through (-2,5)"

HELP ME

1. You need to get Y by itself, to turn it into y=mx+b format. So:
2x + y =4
-2x
y=-2x+4
In perpendicular equations, the slope (m) is the opposite reciprocal. The opposite reciprocal of -2 is 1/2
So far we have y=1/2x + ??
You also say that you have the x intercept of -1. "X Intercept" means that it crosses the X axis. For this to happen, the coordinate would have to be (-1,0). Plug that coordinate in for x and y. -1 is x and 0 is y:
0=1/2(-1) + b
Solve:
0=-1/2 + b
+1/2
1/2=b
Plug this into your equation:
y = 1/2x + 1/2
Make sense? It's kind of hard to explain this over the internet, but if you need anymore help you can have my AIM. Anyway, here's the next one:

2. x + 2y = 8
Again, you have to get the y by itself. So start by subtracting the x:
2y = -x + 8
Divide both sides by two so the y is by itself:
y = -1/2x + 4
Now, you say the y intercept is 4. In y=mx+b, b is the y intercept. You already have a four there, so you are good.

3. Remember in #1 when I talked about x intercepts? Same thing here. You have an x intercept of -1/2. X intercept means that it is a point on the s axis. Therefore, the y coordinate can't go up or down. It has to be zero. So your two points are
(-1/2,0) and (-2,5). Remember how to find slope (besides doing rise over run)? The formula is:
Y2-Y1/X2-X1 (Those numbers are subcripts. They should be written in the bottom right corner of the number).

Let's start with the Y's:
5-0=5
And the X's:
-2 - -1/2 = -1 1/2
Don't forget to divide:
5/-1 1/2 = about 3.33. This is your slope (m).

y=3.33x + b

To find b, plug in a coordinate for x and y. It doesn't matter what you pick, but I will choose (-2,5):

5=3.33(-2)+b
5=-6.67 + b
Add 6.67 to both sides to get b by itself:
11.67 = b

Your complete equation is y = 3.33x + 11.67... Don't you just love decimals?

Anyway, I hope this helps you. Let me know if you need anymore.

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(Rating: 5) THANK YOU SO MUCH.
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