SOLUTION: find the slope and y-intercept of the line: 4x - 3y = - 6
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Question 134887: find the slope and y-intercept of the line: 4x - 3y = - 6
Found 2 solutions by solver91311, dbashant:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Solve the equation for y, that is put it into form. Then the slope is m and the y-intercept is b.
Answer by dbashant(7) (Show Source): 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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