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.
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 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.
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.
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 second equation works out as y = -1/2x+6 therefore it is perpendicular
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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