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):
@iGreen
OpenStudy (igreen):
y = mx + b
m = slope
y = -3x + 2
Remember, parallel lines have THE SAME slope.
Okay, you can already eliminate two choices, which ones are those?
OpenStudy (anonymous):
a and c?
OpenStudy (igreen):
Yes!
Because their slopes are 1/3, and you need slopes with -3.
OpenStudy (igreen):
So B and D are our choices.
We can plug in (-1, 6) into both of them to see which one it is.
y = -3x + 3
Plug in (-1, 6):
6 = -3(-1) + 3
Can you finish that?
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OpenStudy (anonymous):
I'm still a little confused
OpenStudy (igreen):
Okay, well we have to multiply -3 and -1, can you do that?
OpenStudy (anonymous):
3?
OpenStudy (igreen):
Yep.
That gives us 6 = 3 + 3.
Now add that and what do you get?
OpenStudy (anonymous):
6
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OpenStudy (igreen):
Yep, so it gives you 6 = 6, and that's true.
So y = -3x + 3 is the correct answer.