anonymous
  • anonymous
Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2)
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
The graph has 2 points Point A: (-2, 0) Point B: (0, -1)
anonymous
  • anonymous
point a because perpendicular means the opposite so therefore the opposite of the y axis will be -2
anonymous
  • anonymous
Y=2x+4 Y=-2x+4 Y=-1/2x+2 Y=2x-1

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anonymous
  • anonymous
Nnesha
  • Nnesha
first you need to find slope of two points (-2,0)(0,-1) formula to find slope is \[\huge\rm \frac{ y_2 -y_1}{ x_2 -x_1 }\] plug in y and x values
anonymous
  • anonymous
(-1)-0= 0-(-2)
anonymous
  • anonymous
So -1/2
Nnesha
  • Nnesha
yep right :=) now perpendicular slope is negative reciprocal for example if slope of first equation is - a/b then slope of perpendicular equation would be positive b/a
Nnesha
  • Nnesha
so what is the slope of 2nd equation ?
anonymous
  • anonymous
-2x?
anonymous
  • anonymous
Sorry 2x
Nnesha
  • Nnesha
yep right
anonymous
  • anonymous
So would the answer be y=2x+4
Nnesha
  • Nnesha
so equation of slope intercept form is y =mx+b where m is slope so substitute m for 2 and pick on of order pair to plug in value of x and y solve for b
Nnesha
  • Nnesha
so how did you get A ? and how do you know it's not D ?
anonymous
  • anonymous
Because when i look at the line The y intercept must pass through (-1, 2)
anonymous
  • anonymous
So i thought the line would be slanted the other way
anonymous
  • anonymous
So its d?
Nnesha
  • Nnesha
perpendicular line passes through the point (-1,2) so substitute x and y for (-1,2)
Nnesha
  • Nnesha
nope first one is correct i just wanted to know how did YOU get A :=)
anonymous
  • anonymous
Ok, thank you very much
Nnesha
  • Nnesha
my pleasure :=)

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