Help.
Determine the slope of the line.
The line whose equation is 3x-2y=8
Solve for y by putting y on one side and everything else on the other.
-2y=8-3x. Multiply by -1.
2y = 3x -8 and divide by 2
y=(3/2)x -8/2 or
y= (3/2)x -4
The form for a straight line is
y = mx + b
where m is the slope and b is the y intercept.
To determine the slope of the line, we need to compare the equation to the standard form of a linear equation, which is y = mx + b.
In the given equation, 3x - 2y = 8, we need to solve for y by putting it on one side and everything else on the other side.
Start by subtracting 3x from both sides:
-2y = 8 - 3x
To isolate y, divide both sides by -2:
2y = 3x - 8
Finally, divide every term by 2:
y = (3/2)x - 4
Now, we can compare this equation to the standard form y = mx + b. The coefficient of x, which is (3/2), represents the slope of the line.
Therefore, the slope of the line is 3/2.