SOLUTION: write the eqaution of a line with a parallel slope tp y=2x-6 and through the point (4,2)

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Question 549310: write the eqaution of a line with a parallel slope tp y=2x-6 and through the point (4,2)
Found 3 solutions by mathie123, stanbon, josmiceli:
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that if two lines are parallel, then the slope is the same
y=2x-6
what is our slope in this line? It is 2 so the slope of the line we will end up with will also be 2.

Subbing in our given point and the slope , we can solve for b
y=mx%2Bb
2=2%2A4%2Bb
2=8%2Bb
2-8=b
-6=b

So our line is
y=2x-6

Hopefully this helps, let me know if you are unsure about any of the steps I took.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the eqaution of a line with a parallel
slope to y=2x-6 and through the point (4,2)
----
slope = 2
Form: y = mx+b
2 = 2*4 + b
b = -6
----
Equation:
y = 2x-6
=============
cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
the slope of line +y+=+2x+-+6+ is
+m+=+2+.
Any line parallel to this line has same slope
Use point-slope formula
+%28+y+-+2+%29+%2F+%28+x+-+4+%29+=+2+
+y+-+2+=+2%2A%28+x+-+4+%29+
+y+-+2+=+2x+-+8+
+y+=+2x+-+6+
This is the same equation. That means that the
point (4,2) is on this line
check:
+2+=+2%2A4+-+6+
+2+=+8+-+6+
+2+=+2+