HELP ME PLEASE i really need help with this ASAP !!!! Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2).
Firstly, we need to find the slope of the given line. Tell me that if you can please.
i cant . idk how to find slopes on graphs
Alright. In short, slope is equal to rise over run, which is really just how much it goes up over how much it goes right. If one of those is negative, then you simply add a negative. So, how much does a point go down to be on the same y coordinate as the next point?
2 ??
Let's consider the two points (-2,0) & (0,-1). And, let's use the a formula this time to find slope. The formula is \[(y2-y1)/(x2-x1)\]
So, plug in what you know.
-1-0\div2
so -0.5 ?
forget the first answer. typo
Correct, though I'd suggest not making it a decimal, keeping it as a fraction allows us to use whole number to find the next point, should we ever have to. So, keep it as -1/2 for now. NOW, knowing your slope, do you know what point-slope form is?
no..
actually yes. its y-y=m(x-x1)
Excellent! Knowing that, please plug in the values you know.
for this question?
Yep.
y-0=-1/2(x+-2)
i solve it ?
Wait, one moment. You input the incorrect point. Looking at the instructions, what point does it say to use?
y-y1=m(x-x1)
No, what ordered pair did I say to use?
*does it say to use
-1,2
Yeah, so use that instead.
y-2=m(x-(-1)
Don't forget the ending parenthesis, but I forgot one thing: It's a line perpendicular to the given slope. So, flip the slope, making the denominator the numerator and visa versa, and make it negative.
so y-(-1)=m(x-2)
No, don't change your ordered pair at all. Just the slope.
my slope is 1/2 right ?
Almost. It's negative.
y-2=-2/1(x-(-1)
You're really close, but you forgot this: if I have a negative number, and I apply another negative to it, what does it become?
positive ? so x+1?
True, but I'm talking about the slope.
i dont get what i have to change about the slope.
positive 1/2 ?
Don't forget to flip the fraction. So, final form?
2/1 !
would it be y = - 1 over 2 x + 2 ?
No... That has nothing to do with this...
oh cause thats one of my options and it seems logical
Just give me the final form in point-slope form please.
y-2=2/1(x+1)
Correct. Now, I must go, but that could be your answer, or you may have to isolate y by distributing the 2, and adding the two from the left side. Ok?
thank you !
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