In the XY Plane, What is the Slope of the Line Whose Equation is 3x + 2y = 8?

To find the slope of the line given by the equation 3x + 2y = 8, we first need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope.

Start by isolating y.

1. Subtract 3x from both sides:

2y = -3x + 8

2. Now, divide every term by 2 to solve for y:

y = -rac{3}{2}x + 4

From this equation, we can see that the slope (m) of the line is -3/2.

Thus, the slope of the line represented by the equation 3x + 2y = 8 is -3/2.