Or sometimes they want it without fractions in which case it would be:
\[x-2y=4\]
OpenStudy (anonymous):
so the answer is x-2y=4
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OpenStudy (anonymous):
To which graph does the point (2, -3) belong?
Choose one answer.
a. y > -x - 2
b. y > -x - 1
c. y > -2x + 3
d. y > -3x + 5
here is another i need help with
OpenStudy (mertsj):
Did you plug in 2 for x and -3 for y and see which one is true?
OpenStudy (anonymous):
i don't know what i am looking for though
OpenStudy (mertsj):
-3>-2-2, -3>-4
Well shazam!! the very first one is true.
OpenStudy (anonymous):
ha ha i was right that is what i thought it was 2 more
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OpenStudy (anonymous):
What is the equation of the line in standard form that passes through the point (3, -2) and is parallel to the line y = -4x + 1?
OpenStudy (mertsj):
Do you know that parallel lines have the same slope?
OpenStudy (mertsj):
So this is just like the first one with slope = -4
OpenStudy (anonymous):
so it would look like y-(-2)=-4(x-3)
OpenStudy (mertsj):
\[y+2=-4(x-3)\]
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OpenStudy (mertsj):
yep. Now rearrange it.
OpenStudy (anonymous):
-5x+y=14 is that the answer
OpenStudy (mertsj):
\[y+2=-4x+12\]
\[4x+y=10\]
OpenStudy (anonymous):
one more
OpenStudy (anonymous):
acctually 2 more
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OpenStudy (anonymous):
What is the equation of the line in slope-intercept form that passes through the point (3, -1) and is perpendicular to the line y = x + 1?
OpenStudy (mertsj):
What is the slope of y = x+1?
OpenStudy (anonymous):
1
OpenStudy (anonymous):
\[y+1=2x-3\]
OpenStudy (anonymous):
\[y=2x-4\]
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OpenStudy (anonymous):
is that the answer
OpenStudy (mertsj):
You didn't answer my question. what is the slope of y=x+1?
OpenStudy (anonymous):
1
OpenStudy (mertsj):
Then what is the slope of the perpendicular?
OpenStudy (mertsj):
Hint. It is the negative reciprocal of 1
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OpenStudy (anonymous):
-1
OpenStudy (mertsj):
ok. Now use point slope form and plug in the given point and the slope -1
OpenStudy (anonymous):
alright one sec
OpenStudy (anonymous):
y+1=-2x+3
OpenStudy (mertsj):
\[y+1=-1(x-3)\]
y+1=-x+3
\[y=-x+2\]
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OpenStudy (anonymous):
y=x+2 is the answer
OpenStudy (mertsj):
Did you notice the negative sign in front of the x?
OpenStudy (anonymous):
What is the vertex of the graph of y = |x - 2|- 5? last one
OpenStudy (anonymous):
yes typo
OpenStudy (mertsj):
Remember...the slope of the perpendicular is -1
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