7x + y = 6 y = 6 - 7x dy/dx = 0-7 = -7 Slope = -7
6
-7x+9y = 54 9y = 7x+54 y = 7/9x+6 which is now in slope-intercept form
7x is still the slope, no matter what x equals.
-7x + 6 + 7x - 2 = 4
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.
It is: y = -7x+1 in slope intercept form
7x = -3y + 12
x2 + 7x + 6 = (x + 6) (x + 1)
9x+6 = 7x+18 9x-7x = 18-6 2x = 12 x = 6
x^2 +7x+6 = (x+1)(x+6) when factored
x2 + 7x = 2x2 + 6 x2 - 2x2 + 7x = 6 -x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0