SOLUTION: Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1? Choose one answer a. y = 2/3x - 2 b. 6x -3y = 9

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Question 461656: Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?


Choose one answer a. y = 2/3x - 2
b. 6x -3y = 9
c. 2x + 4y = -1
d. y = -2x + 8

Found 2 solutions by rwm, MathLover1:
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
4x - 2y = 1 has a slope of 2
y = 2/3x - 2 has a slope of 2/3
6x -3y = 9 has a slope of 2 and so is parallel
2x + 4y = -1 has a slope of -1/2 and is perpendicular
y = -2x + 8 has a slope of -2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Which equation has a graph that is perpendicular to the graph of 4x+-+2y+=+1?


Choose one answer a. y+=+%282%2F3%29x+-+2+
b. 6x+-3y+=+9+
c. 2x+%2B+4y+=+-1
d. y+=+-2x+%2B+8+
first write them all in slope-intercept form y=mx%2B-b:
4x+-+2y+=+1.......->...4x+-+1+=+2y.....->...2x+-+1%2F2+=+y...slope-intercept form
the slope is m=2
equation has a graph that is perpendicular to the graph of 2x+-+1%2F2+=+y has to have a slope m1 an negative inverse of m which is m1=-1%2Fm
m1=-1%2F2
let's see which choice is right answer:
a. y+=+%282%2F3%29x+-+2+ ...slope-intercept form
b. 6x+-3y+=+9+ ... 6x+-9+=3y+.. 2x+-3+=y+..slope-intercept form
c. 2x+%2B+4y+=+-1 ..2x+%2B+1+=+-4y..2x%2F-4+%2B+1%2F-4+=+y..-%281%2F2%29x+-+1%2F4+=+y..

d. y+=+-2x+%2B+8+...slope-intercept form
as you can see, your answer is c. 2x+%2B+4y+=+-1
let's see it on a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x+-+1%2F2%2C+-%281%2F2%29x+-+1%2F4+%29+