** PLEASE HELP **
Write the equation of the line that is perpendicular to the line y = 3/2x + 4 and passes through the point (-6, 3).
A. y = 3/2x - 1
B. y = 3/2x + 3
C. y = -2/3x - 1
D. y = -2/3x + 3
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jimthompson5910 (jim_thompson5910):
how far did you get?
OpenStudy (anonymous):
Im completely lost for this one
jimthompson5910 (jim_thompson5910):
The slope of y = 3/2x + 4 is ????
OpenStudy (anonymous):
0 ?
jimthompson5910 (jim_thompson5910):
nope
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jimthompson5910 (jim_thompson5910):
hint: y = mx+b has a slope of m
OpenStudy (anonymous):
3/2
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
flip the fraction and flip the sign to get ______
OpenStudy (anonymous):
what... ,_,
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jimthompson5910 (jim_thompson5910):
you have the fraction 3/2 right?
jimthompson5910 (jim_thompson5910):
to find the perpendicular slope, you flip that fraction and you flip the sign
OpenStudy (anonymous):
-2/3 ?
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
now solve for b
\[\Large y = mx + b\]
\[\Large y = -\frac{2}{3}x + b\]
\[\Large 3 = -\frac{2}{3}(-6) + b\]
\[\Large b = ???\]
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OpenStudy (anonymous):
-1
jimthompson5910 (jim_thompson5910):
m = -2/3
b = -1
the final answer is \[\Large y = -\frac{2}{3}x - 1\]
OpenStudy (anonymous):
You're such a big help, thank you!!
jimthompson5910 (jim_thompson5910):
you're welcome
OpenStudy (anonymous):
Would you mind helping me with one more
?
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jimthompson5910 (jim_thompson5910):
sure I can help
OpenStudy (anonymous):
Write the equation of the line that is parallel to the line 3x - y = -3 and passes through the point (4, -2).
y = -1/3x - 6
y = -1/3x - 14
y = 3x - 6
y = 3x - 14
jimthompson5910 (jim_thompson5910):
First I would solve for y to get it into y = mx+b form (slope intercept form)
jimthompson5910 (jim_thompson5910):
3x - y = -3
-y = -3-3x
-y = -3x-3
y = (-3x-3)/(-1)
y = 3x + 3
with me so far?
OpenStudy (anonymous):
Im with you (:
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jimthompson5910 (jim_thompson5910):
The slope of y = 3x + 3 is m = 3
the slope of ANY parallel line to this given one will also have a slope of 3
any two parallel lines have equal slopes