You can put this solution on YOUR website! This equation is of the form ax + by = c, where a = 4, b = -3 and c = -6.
For equations of this form, the slope is -a/b, which = -4/-3 or 4/3.
The y-intercept is c/b, which is -6/-3 which simplifies to 2.
Another way to solve this problem is to put the formula in to y = mx + b format, where m is the slope and b is the y-intercept. To do this we would first subtract 4x from each side to move the first term to the right of the equal sign.
4x -4x -3y = -6 -4x
then -3y = -4x -6
Next we divide each term by -3 to simplify.
(-3y/-3) = (-4x/-3) - (6/-3)
which simplifies to
y = (4/3)x + 2
Now we have y = mx + b form, and it is easy to see that m=4/3 and b=2.
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