what is the slope of the line determined by the equation 2x+y=5?

To find the slope of the line determined by the equation 2x + y = 5, we need to rewrite the equation in slope-intercept form, which is y = mx + b. In this form, m represents the slope of the line.

Let's rearrange the given equation:
2x + y = 5

Subtract 2x from both sides:
y = -2x + 5

Now we have the equation in slope-intercept form, where the coefficient of x (-2) represents the slope of the line. In this case, the slope of the line determined by the equation 2x + y = 5 is -2.