It is a straight line.
standard form is y = mx + b where m = slope
3x - 6y = 12
6y = 3x -12
y = .5x -2
any other line with slope = 0.5 would be parallel to it
q2
If you mean -x+y = 12 then y = x+12 and so the parallel line will have the same slope but with a different y intercept.
4x+y = 14 will be parallel to the above equation because the slope or gradient remains the same but the y intercept changes.
The given line has the equation ( y = 12x + 3 ). The slope of this line is 12. Lines that are parallel have the same slope, so the slope of any line parallel to this one is also 12.
y = -7x + 6 is the equation of a straight line. It has a slope of '-7' and a y-intercept of '6'. For it to be parallel it must be compared to another line. e.g. y = -7x + 12 is a paralle line However, y = 7x + 6 is NOT a parallel line, because the slope is in a different direction.
q2
If you mean -x+y = 12 then y = x+12 and so the parallel line will have the same slope but with a different y intercept.
14
4x+y = 14 will be parallel to the above equation because the slope or gradient remains the same but the y intercept changes.
Lines parallel to the line would have the same slope, which is 3/4. (0.75) 3x-4y = 12 3x-12 = 4y y = 3/4 x - 3 The y-intercept is -3 and the slope is 3/4.
y=-(2/3)x + (n) where n can be any integer.
The given line has the equation ( y = 12x + 3 ). The slope of this line is 12. Lines that are parallel have the same slope, so the slope of any line parallel to this one is also 12.
y = -7x + 6 is the equation of a straight line. It has a slope of '-7' and a y-intercept of '6'. For it to be parallel it must be compared to another line. e.g. y = -7x + 12 is a paralle line However, y = 7x + 6 is NOT a parallel line, because the slope is in a different direction.
The second equation works out as y = -1/2x+6 therefore it is perpendicular
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
They don't. The line is parallel. ( 4x-8x=12 simplifies to y-2x+3, which has the same slope as y=2x+2)
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