SOLUTION: The Line Parallel To y=-2x+4 Through (-4,3)

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Question 551279: The Line Parallel To y=-2x+4 Through (-4,3)
Found 2 solutions by fcabanski, MathTherapy:
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Use the slope-intercept form of a line equation which is y=mx+b.
m = slope, b= y-intercept (where x=0).


The original line is y = -2x + 4 with m=slope=-2 and y-intercept 4.


Parallel lines have the same slope, so the new line's slope is -4 and it's general equation is y = -4x + b.


The new line passes through (-4,3), so find b by plugging those values (x,y) in for x and y.


3=-4*-4 + b
3 = 16+b
-13 = b


The equation of the line is y = -4x - 13

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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The Line Parallel To y=-2x+4 Through (-4,3)

Since parallel lines have the same slope, and the slope of the above line is m = - 2, and the point is (- 4, 3), we apply this info into the point-slope formula:

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
Since x = - 4, y = 3, and m (slope) = - 2, then: y - 3 = - 2(x - - 4)

y - 3 = - 2(x + 4)

y - 3 = - 2x - 8

highlight_green%28y+=+-+2x+-+5%29: Equation of the line, parallel to y = - 2x + 4, and passing through the point, (- 4, 3)

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