Mathematics
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OpenStudy (anonymous):
Need help with algebra plz
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OpenStudy (anonymous):
yes, what do you need help with?
OpenStudy (anonymous):
Choose the equation of the line passing through the point (1, -5) and perpendicular to y = 1 fifthx - 10.
y = 5x + 10
y = 5x
y = -5x - 10
y = -5x
jimthompson5910 (jim_thompson5910):
The original slope is 1/5
the perpendicular slope is -5/1 or just -5 (flip the fraction and flip the sign to go from 1/5 to -5/1)
so m = -5
jimthompson5910 (jim_thompson5910):
the line must pass through (1,-5), so
x = 1
y = -5
jimthompson5910 (jim_thompson5910):
y = mx+b
y = -5x+b ... plug in the given slope
-5 = -5*(1) + b ... plug in x = 1 and y = -5
now solve for b
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OpenStudy (anonymous):
-5?
jimthompson5910 (jim_thompson5910):
-5 = -5*(1) + b
-5 = -5 + b
b = ???
OpenStudy (anonymous):
be stands for y intercept but this is where i am having problems how do you solve b
jimthompson5910 (jim_thompson5910):
-5 + b is the same as b + (-5) or b - 5
jimthompson5910 (jim_thompson5910):
so
-5 = -5 + b
turns into
-5 = b - 5
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jimthompson5910 (jim_thompson5910):
you can flip the equation to get
b - 5 = -5
jimthompson5910 (jim_thompson5910):
so b = ??
OpenStudy (anonymous):
wouldnt i turn it into point slope form like so \[y + 5 = -5(x - 1)\]
OpenStudy (anonymous):
then
jimthompson5910 (jim_thompson5910):
that's one way to do it, now solve for y
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OpenStudy (anonymous):
\[y + 5 =-5x + 5\]
jimthompson5910 (jim_thompson5910):
good, keep going
OpenStudy (anonymous):
\[y = -5x\]
jimthompson5910 (jim_thompson5910):
perfect
OpenStudy (anonymous):
so D
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jimthompson5910 (jim_thompson5910):
correct
OpenStudy (anonymous):
yay thank you so much
jimthompson5910 (jim_thompson5910):
you're welcome