3x + 6y = 12 Rearranging terms: 6y = -3x + 12 Divide through by 6: y = -1/2*x + 2
y = -(2/3)x -2
It is a straight line equation and can be rearranged into slope intercept form as follows:- 6x-6y = 12 -6y = -6x+12 y = x-2 which is now in slope intercept form
If 10x + 6y = 24, y = (24 - 10x)/6 = 4 - (5/3)x. The slope of a line with an equation written in this format is the coefficient of x, therefore -(5/3).
x - 3y = -3: multiply by -2 giving -2x + 6y = 6, but -2x + 6y = 12 so we have a problem! Misprint?
3x + 6y = 12 Rearranging terms: 6y = -3x + 12 Divide through by 6: y = -1/2*x + 2
y = -(2/3)x -2
-5x + 6y = 24 6y = 5x + 24 y = 5/6 x + 4 the slope is 5 6
3x-6y=12; subtract 12 & add 6y to both sides 3x-12=6y; divide by 6 (1/2)x-2=y; re-write y=(1/2)x-2 slope intercept form
It is a straight line equation and can be rearranged into slope intercept form as follows:- 6x-6y = 12 -6y = -6x+12 y = x-2 which is now in slope intercept form
x + 2y = 62y = -x + 6y = -1/2 x + 3
If 10x + 6y = 24, y = (24 - 10x)/6 = 4 - (5/3)x. The slope of a line with an equation written in this format is the coefficient of x, therefore -(5/3).
If the equation is 6y - 3x - 2 = 0 6y - 3x - 2 = 0 6y = 3x + 2 y = (1/2)x + 2 The slope is 1/2. If the equation is 6y = -3x - 2 y = -(1/2)x - 2 The slope is -1/2.
Solving these simultaneous equations by the elimination method:- x = 1/8 and y = 23/12
x - 3y = -3: multiply by -2 giving -2x + 6y = 6, but -2x + 6y = 12 so we have a problem! Misprint?
You can find the slope of a line by rearranging it in the format y = s(x + a) + b. In that case, "s" will be the slope: 3x - 6y = 15 6y = 3x - 15 2y = x - 5 y = x/2 - 2.5 So the slope in this case is 1/2.
4x + 3y = 6y 4x = 3y 4/3 x = y The slope is 4/3 and the y intercept is 0.