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.
2x-6y = 9 Rearranging: 6y = 2x - 9 Divide through by 6: y = (1/3)x - 3/2
-x+3y+6x-6y=5x-3y
-2x-6y=6 can be written as -6y=2x+6 or y=-2/6x-1 This tells us the y intercept is 1. You can also plug in x=0 to find the y intercept. So when you replace x with 0 in -2x-6y=6 you have -6y=6 so y=-1 again Now to find the x intercept, let y be 0 so 0=2x+6 or -6=2x which tells us x=-6/2 or -3 and this is the y intercept.
You can solve a system of equations using a few methods: elemination and subsitution. In the elemination method you would multiply each of your equations by a factor that would cause one of the variables to be eleminated. ex: If you had 2x-3y=5 and 3x+6y=4 you would multiply the first equation by a factor of 2 (distributing the 2 to each term), giving you a new equation of 4x-6y=10. Now your y terms would cancel. You line up the equations like: 3x+6y=4 4x-6y=10 you simply cancel the y terms and add the others giving you: 7x=14 you then solve for x (in this case divide by 7) x=2 now you plug in x=2 into one of the first equations and solve 3x+6y=4 3(2)+6y=4 plug in x 6+6y=4 multiply 6y=-2 add like terms y=-1/3 solve for y To solve using the subsitution method you would take an equation and solve for one variable then plug that into the other equation. ex. (using the same equations as before) 2x-3y=5 2x=3y+5 x=(3/2)y+(5/2) 3x+6y=4 3((3/2)y+(5/2))+6y=4 plug in for x (9/2)y+(15/2)+6y=4 distribute the 3 (21/2)y=(-7/2) add like terms y=(-1/3) solve for y you would then plug in y and solve for x 2x-3(-1/3)=5 2x+1=5 2x=4 x=2 Hope this helps!
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.
By definition: 4y-2 = 6y+8 4y-6y = 8+2 -2y = 10 y = -5 and by substituting this value into the equation x = -22
The slope of -x plus 6y is equals to 12 is said to be (2 + 1/6x).
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
6y = 4x^2 y = (4/6)x^2 y = (2/3)x^2 Option B: 2/3
-2x - 6y = -8 2x + 6y = 8 6y = -2x + 8 y = -2/6 x + 8/6 y = -1/3 x + 4/3
State each expression in terms of its prime or non-numeric factors. 6y = 2 x 3 x y 108 = 2 x 2 x 3 x 3 x 3 The common factors are 2 and 3. The GCF is therefore 2 x 3 = 6.
x - 3y = -3: multiply by -2 giving -2x + 6y = 6, but -2x + 6y = 12 so we have a problem! Misprint?
y2-x-6y+6=0 y2-6y+6=x (y-3)2-3=x so y = 3+sqrt(x+3) or y = 3-sqrt(x+3)
its just a line, there are many answers that would work -12x-6y=0 -12x=6y x=-y/2 y=-2x
3x + 6y = 12 Rearranging terms: 6y = -3x + 12 Divide through by 6: y = -1/2*x + 2
It is: 2(x+3y) when factored