REMEMBER WHAT YOU DO TO ONE SIDE YOU DO THE SAME TO THE OTHER!!!!!
we know the formula
y = mx + b
we know the slope
m = 2/3
and we know the y-intercept
b = 4
now lets write it out the equation: y = (2/3)x + 4
now to solve for y by replacing x with a zero(0) . now the equation would read as
y = (2/3) 0 + 4 which equals to y = 0 + 4 which makes y = 4
Now that we know what y equals to, lets replace the y with a zero(0) and solve for x.
Now the equation would read 0 = (2/3)x + 4
we subtract 4 from both sides
0 - 4 = (2/3)x + 4 - 4
now we have -4 = (2/3)x
so we multiple both sides by three to get rid of the deving three
-4 * 3 = (2/3)x * 3
now we got -12 = 2x so we devide both sides by 2 . so we got -6 = x now to make sure the equation is true replace both sides with the x variable with -6 . So now we got 0 = (2/3)(-6) + 4 so we subtract 4 from both sides and get 0 = (2/3)(-6) and solve this by multiplying by 3 both sides. -4 * 3 = (2/3)(-6) * 3 so we got -12 = 2 * -6 shich is also -12 so -12 = -12