SOLUTION: through (-3 -3), parallel to y = 7/3x + 3

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Question 814796: through (-3 -3), parallel to y = 7/3x + 3
Found 3 solutions by josmiceli, richwmiller, erica65404:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of any line parallel to
the given line is +m+=+7%2F3+
Using the general point slope formula:
+%28+y+-+%28-3%29+%29+%2F+%28+x+-+%28-3%29+%29+=+7%2F3+
+y+%2B+3+=+%287%2F3%29%2A%28+x+%2B+3+%29+
+3%2A%28+y+%2B+3+%29+=+7%2A%28+x+%2B+3+%29+
+3y+%2B+9+=+7x+%2B+21+
+3y+=+7x+%2B+12+
+y+=+%287%2F3%29%2Ax+%2B+4+
----------------
Does it go through (-3, -3) ?
+y+=+%287%2F3%29%2Ax+%2B+4+
+-3+=+%287%2F3%29%2A%28-3%29+%2B+4+
+-3+=+-7+%2B+4+
+-3+=+-3+
OK

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
y-(-3)=7/3*(x-(-3)
y+3=7/3*(x+3)
y=7/3x+7/3*3)-3
y=7/3x+7-3
y=7/3x+4


Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
lines that are parallel have the same slope.
y+=+%287%2F3%29+x+%2B+3
The slope of this line is 7%2F3.
so the line we are looking for is
y+=+%287%2F3%29+x+%2B+b
we now need to find b. To do this plug the point they give you into the equation.
(-3,-3)
-3+=+%287%2F3%29%2A%28-3%29+%2B+b
-3+=+-7+%2B+b
4+=+b
now put this back into the equation.
y+=+%287%2F3%29x+%2B+4