Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
Choose one answer.
a. y = 2x + 6
b. y = −one halfx + 3
c. y = −one halfx + 6
d. y = 2x + 3
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OpenStudy (sachintha):
So can you work out?
OpenStudy (anonymous):
yeah
OpenStudy (rhystic):
So this is similar to the parallel problem except the rule for perpendicular lines is that the gradient/slopes are inverse of each other so if you had a slope of -3 the perpendicular line would have a slope of 3.
OpenStudy (sachintha):
Remember that this is not parallel. It's perpendicular to the line y = 2x+2.
OpenStudy (anonymous):
So the slope for the other line is -2?
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OpenStudy (sachintha):
No
OpenStudy (anonymous):
or -1/2
OpenStudy (sachintha):
Yeah correct!
OpenStudy (anonymous):
So it is b or c?
OpenStudy (anonymous):
now i plug in the x?
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OpenStudy (sachintha):
As previously check whether the y value is 3 by plugging x = 6.
OpenStudy (anonymous):
c?
OpenStudy (sachintha):
Can you show the calculation steps?
OpenStudy (anonymous):
y= -1/2+6
OpenStudy (anonymous):
-1/2x
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OpenStudy (anonymous):
so 6 x -1/1 = 3
OpenStudy (anonymous):
wait.
OpenStudy (anonymous):
oh ok so
y= -1/2x + 6
-1/2 x 6 = -3
-3 + 6 = 3
y=3
OpenStudy (rhystic):
here did you get the 6 from?
OpenStudy (anonymous):
the x ?
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OpenStudy (sachintha):
I have to recheck too. :D
OpenStudy (rhystic):
youre math is a bit off. it should be b double check yotur work
OpenStudy (anonymous):
Im not sure where i went wrong ;/
OpenStudy (sachintha):
@Rhystic How can it be b?
OpenStudy (sachintha):
Kyle is right unless I am wrong.
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