what is 2x-6y=8 in slope intercept form?

y = mx + c (m = slope, c = y-intercept)

2x - 6y = 8
x - 3y = 4
3y = x - 4
y = (x - 4)/3
y = x/3 - 4/3
y = 1/3(x) - 4/3

y = mx + c

y = (1/3)x - (4/3)

m = 1/3 and c = -(4/3)

rewrite the equation interior the slope-intercept type > (y = mx + b) subtract “2x” from the two sides- opposite of addition (or an excellent #) 2x – 2x – 6y = -8 – 2x -6y = -8 – 2x ("x" must be first- change positions) -6y = - 2x – 8 divide each and every thing with the aid of (6) with the aid of the two sides (opposite of multiplication) (-6y)/(-6) = (-2x)/(-6) – (8)/(-6) y = (-2x)/(-6) – (8)/(-6) y = 1x/3 – (- 4/3) y = 1x/3 + 4/3 or (a million/3)x + 4/3 a line it quite is parallel has the comparable slope, to that end the slope is (a million/3) = (x, y), a extensive determination or fraction placed earlier the x-variable use the slope & element (5, -5) interior the element-slope formula, it quite is... y – y? = m (x – x?) y – (-5) = (a million/3)(x – 5) y + 5 = (a million/3)(x - 5) y + 5 = (a million/3)(x) + (a million/3)(- 5) y + 5 = (a million/3)(x) + (-5/3) y + 5 = (a million/3)(x) – 5/3 subtract (5) from the two sides... y + 5 – 5 = (a million/3)(x) – 5/3 – 5 y = (a million/3)(x) – 20/3

6y = 2x - 8
3y = x - 4
y = (1/3) x - 4/3

Subtract 2x from both sides:
-6y=8-2x

Divide both sides by -6:
y=(-8/6)+(2/6)x
y=(-4/3)+(1/3)x

Write this as y= (1/3)x-(4/3)

y= x/3 - 4/3

Slope intercept form is in the form of y=mx+b. so the correct answer is "y=1/3x + 4/3" ...... write 4/3 any way you want to.

2x - 6y = 8 add 6y to each side (so its possitive)
2x = 6y + 8 subtract 8 from each side
2x - 8 = 6y divide 6 by each side
2/6x - 8/6 = y simplify
1/3x - 4/3 = y

Get this into the form of y = mx + b by solving for y. Subtract 2x from both sides, then divide both sides by -6.

2x-6y=8
-6y=8-2x
y= -1 1/3+1/3x