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#1
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| parallel to line 4x-2y=4?
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#2
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| 4x - 2y = 4-2y = -4x + 4y = 2x - 2Slope of given line is 2Slope of a line parallel is also 2.So, using point-slope form:y - y1 = m(x - x1)y - (-4) = 2(x - 6)y + 4 = 2x - 12y = 2x - 16Or, in standard form: 2x - y = 16
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#3
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| first find slope4x-2y = 4 add 2y to both sides4x=2y+4subtract 4 from both sides4x-4=2ydivide all by 22x-2=yy=2x-2this is in y=mx+b form with m being the slope and b being the y interceptthe slope of your new line is 2y = m*x + b and you know from the pointx = 6y = -4m = 2so solve for b-4 = 2*6 + b-4 = 12 + bsubtract 12 from both sides b = -16so the m = slope = 2and the b = y intercept = -16your line is y = 2x - 16
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#4
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| 1) 4x-2y=4 ===> -2y=4-4x ===> y=2x-22) equation is (y+4)=2(x-6) y = 2x-8
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#5
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| First, rearranging the equation the problem gave you to say “y = “ will help you visualize the line a little better. After doing this, the equation reads “y = 2x – 2.” This is a line of slope of 2, and a y intercept of -2.Any line parallel to this first line needs the same slope (otherwise it’s not parallel!). So we know that the answer must be something like “y = 2x + b” but finding “b” is where you’re probably getting hung up.The additional information provided will help you do this. You know that the answer passes thru the point (x = 6, y = -4). Plug this point into “y = 2x + b” and then solve for “b”.You now have all the info you need to complete your answer.
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