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Q: Which equation represents a line that is parallel to the line y equals 3-2x?

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7

y=-(2/3)x + (n) where n can be any integer.

y equals 4x+1 is a parallel line to y equals 4x.

4

2y= 3x+6

I assume the question should be y = -2x + 5? The equation of a line that is parallel to that line is any line that begins 7 = -2x ... after the -2x any number may be added or subtracted. Parallel lines have the same slope. In the original equation, the slope is -2.

5

No. It represents a horizontal line.

x=4

(Y = -2x plus or minus any number) is parallel to (Y = -2x + 5) .

When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes

Any equation with the form y=c is parallel to the y-axis, where c is a constant.

The parallel equation is: y = 4x-3

5

[ y = plus or minus any number ] is parallel to the x-axis.

q2

-4

Rearranging the original equation, we get y=-(2/3)x+12. Since 12 is the constant, this is the point that the line of this equation will cut the y-axis if x=0. Therefore, -(2/3) is the gradient and for an equation to produce a parallel line, the gradient must be equal. Summing up, y=-(2/3)+c (where c equals any real number) would be parallel

The slope is 5. Parallel lines always have the same slope.

y = - 1/3 x + any number.

Y+2 = 2 (x-3)

5x-4y=8

Since the equation y = -4 represents a horizontal line, then the slope of the line is 0.

y = 0.75x+0.5 For the equation to be parallel the slope must be the same but the y intercept must be different

If you mean: y = 2x-4 then the parallel line will have the same slope of 2 but with a different y intercept