Slope of 5x - 8y = 12
To find the slope of the line given by the equation 5x - 8y = 12, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line.
First, let's isolate y in the equation:
5x - 8y = 12
-8y = -5x + 12
y = (5/8)x - 3/2
Now we can see that the equation is in the form y = mx + b, where m = 5/8. Therefore, the slope of the line is 5/8.