What is the slope of the line 4x + 6y = 12?

Solution:

Given 4x + 6y = 12

To determine the slope, we need to rewrite the given equation in slope-intercept form y = mx + c

Divide the given equation by 2 on both sides

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 6

On comparing with the standard equation, we have m = -2/3

Therefore, the slope of the line is -2/3.

What is the slope of the line 4x + 6y = 12?

Summary:

The slope of the line 4x + 6y = 12 is -2/3.