What is the slope of the line with the equation 2x + 3y = 10

We can find slope by changing this to slope intercepts form. to do that we must isolate y.

subtract 2x from both sides: 3y = - 2x + 10

then divide both sides by 3: y = - 2/3x + 10/3

slope intercept form follows the formula y = mx + b where m is the slope.

m in this case is - 2/3 and that's your slope