Answer:To find the slope of the line represented by the equation 2x - 5y = 9, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope.
Let's solve for y in the given equation:
2x - 5y = 9
Subtract 2x from both sides:
-5y = -2x + 9
Divide both sides by -5:
y = (2/5)x - 9/5
Now we can see that the coefficient of x, 2/5, represents the slope of the line.
Therefore, the slope of the line represented by the equation 2x - 5y = 9 is 2/5.