Q: What equation represents a line parallel to the y-axis?

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

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

Without an equality sign it is not an equation but when a straight line equation is parallel to another straight line the slope remains the same but the y intercept is different

When the equation represents a horizontal line.

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2y= 3x+6

4

x=4

5

7

Any equation of the form 2x + 3y = c, where c is a constant value, represents a line parallel to the given line 2x + 3y = 12.

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

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.

y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.

Y+2 = 2 (x-3)

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

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