What is the slope of the line 4x + 6y = 12
6 y = - 4 x + anything
y = (-4/6) x + anything else
slope = -4/6
= -2/3
hint: y = -4/6 x + 2
To find the slope of the line, we need to rewrite the given equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope.
Let's rearrange the equation 4x + 6y = 12 to solve for y:
4x + 6y = 12
6y = -4x + 12 (Subtracting 4x from both sides)
y = (-4/6)x + 2 (Dividing both sides by 6)
Now we can see that the equation is in the desired slope-intercept form, y = mx + b. The coefficient of x represents the slope, m.
In this case, the slope of the line 4x + 6y = 12 is -4/6, which reduces to -2/3.