7x + y = 6
y = 6 - 7x
dy/dx = 0-7
= -7
Slope = -7
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-7x+9y = 54 9y = 7x+54 y = 7/9x+6 which is now in slope-intercept form
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0
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.
9x+6 = 7x+18 9x-7x = 18-6 2x = 12 x = 6
x=6