Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6).
y = one thirdx + 7
y = −3x + 3
y = one thirdx + 3
y = −3x + 7
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OpenStudy (anonymous):
y = −3x + 12
can you find the slope of this line??
OpenStudy (anonymous):
???
OpenStudy (anonymous):
y = mx + b
OpenStudy (anonymous):
yes here m is the slope now tell me the slope from the given equation
OpenStudy (anonymous):
-3?
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OpenStudy (anonymous):
exactly
OpenStudy (anonymous):
now when two lines are parallel their slopes are equal thus you got the slope for your line
which is???
OpenStudy (anonymous):
-3
OpenStudy (anonymous):
yes now you have slope = m = -3
and one point (-1,6)
use point slope from to get the equation
OpenStudy (anonymous):
point slope form is
y-y1 =m(x-x1)
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OpenStudy (anonymous):
Im confused...
OpenStudy (anonymous):
ok look here
OpenStudy (anonymous):
you have slope = -3 right
and one point mentioned in your question
(-1,6) right???
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
\'''''
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OpenStudy (anonymous):
using point slope form to get the equation
y-y1 =m(x-x1) is a point slope form of line
here y1 =6
x1 = -1
and m = -3
can you find the equation now???
OpenStudy (anonymous):
-1 = -18
OpenStudy (anonymous):
?
OpenStudy (anonymous):
no no
OpenStudy (anonymous):
we have
y-y1 =m(x-x1)
y-6 =-3(x-(-1))
y-6 = -3(x+1)
do it further
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OpenStudy (anonymous):
y - 6 = -3x + -3
OpenStudy (anonymous):
add 6 to both sides what you get???
OpenStudy (anonymous):
3
OpenStudy (anonymous):
y = -3x+3
is your answer
OpenStudy (anonymous):
Yay! Thank you!
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