SOLUTION: PLEASE EXPLAIN WRITE AN EQUATION FOR THE LINE THROUGH THE POINT (-6,-2) AND PARALLEL TO THE LINE X-4Y=4 THANK YOU

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Question 355203: PLEASE EXPLAIN
WRITE AN EQUATION FOR THE LINE THROUGH THE POINT (-6,-2) AND PARALLEL TO THE LINE X-4Y=4
THANK YOU
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel means the equation has the same left hand side (relationship between x and y) and a different right hand side.
Determine the right hand side by using the point.
x-4y=-6-4%28-2%29=-6%2B8=2
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highlight%28x-4y=2%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: parallel lines have the same slope. (they "slant" in the same direction so they do not cross one another: they are parallel)
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The slope intercept equation for a line is y = mx + b where m is the slope and y -intercept (the point where the line crosses the y axis)
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solving equation given for y, in order to find it's slope
X-4Y = 4
mulitplying thru by -1
-x + 4y = -4
.
4y = x - 4
y+=+%281%2F4%29x+-4 Slope of this line is %281%2F4%29
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Our new line also with a slope of (1/4)
y+=+%281%2F4%29x+%2Bb
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substituting these values(-6,-2)to solve for b
+-2+=+%281%2F4%29%28-6%29+%2Bb
+-2+%2B+%283%2F2%29+=+b
b = -1/2
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Equation of new line
y+=+%281%2F4%29x+-+%281%2F2%29