what is the slop of 2x+6y=5

To find the slope of the line represented by the equation 2x + 6y = 5, we need to rewrite the equation in slope-intercept form, which is y = mx + b (where m represents the slope).

Step 1: Start with the given equation: 2x + 6y = 5.
Step 2: Isolate the y-term by subtracting 2x from both sides of the equation: 6y = -2x + 5.
Step 3: Divide every term on both sides of the equation by 6 to solve for y: y = (-2/6)x + 5/6.
Step 4: Simplify the expression: y = (-1/3)x + 5/6.

Therefore, the slope of the line is -1/3.