Mathematics
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OpenStudy (anonymous):
What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?
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OpenStudy (lgbasallote):
first step: find the equation of that line. do you know how?
OpenStudy (anonymous):
no
OpenStudy (lgbasallote):
use the formula \[\Large y -y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x-x_1)\]
do you know what those notations mean?
OpenStudy (anonymous):
yes
OpenStudy (lgbasallote):
wonderful
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OpenStudy (lgbasallote):
tell me when you get a result
OpenStudy (anonymous):
its y2-y1 first right?
OpenStudy (lgbasallote):
what do you mean?
OpenStudy (anonymous):
is the answer -1?
OpenStudy (lgbasallote):
how did you get that?
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OpenStudy (anonymous):
-3-3=-3-3/1- -5(1- -5)
OpenStudy (lgbasallote):
noo...
OpenStudy (anonymous):
where'd i go wrong
OpenStudy (lgbasallote):
it's y - y1 and x - x1 NOT y2 - y1 and x2 -x1
OpenStudy (lgbasallote):
look at the formula i wrote
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OpenStudy (anonymous):
well whats y and x?
OpenStudy (lgbasallote):
nothing..you just put them as y and x
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
y-3=-6/6(x+5)
OpenStudy (lgbasallote):
correct simplify it
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OpenStudy (anonymous):
y-3=x+5
OpenStudy (anonymous):
*-x+5
OpenStudy (lgbasallote):
good
y - 3 = -x - 5
now simplify it more
OpenStudy (anonymous):
how?
OpenStudy (lgbasallote):
add 3 to both sides
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OpenStudy (anonymous):
y=-x-2
OpenStudy (lgbasallote):
good. now let y = 0 and solve for x
OpenStudy (anonymous):
x=2
OpenStudy (lgbasallote):
that is now the x coordinate of the x intercept of the line
OpenStudy (anonymous):
thanks
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OpenStudy (lgbasallote):
welcome