find slope
3x + 2y = 12
x=2
and y=3
so run 2 and up 3?
m= 3/2 correct
not correct
in any equation of the form
Ax + By + C = 0
the slope is -A/B
so for 3x + 2y = 12, the slope = -3/2
or
3x + 2y = 12
2y = -3x + 12
y = (-3/2)x + 6, in the form y = mx + b, the slope is m
so m = -3/2
To find the slope of a linear equation, you need to rewrite the equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope.
Let's rearrange the given equation.
3x + 2y = 12
First, isolate y by moving the 3x term to the right side.
2y = -3x + 12
Next, divide both sides of the equation by 2 to isolate y.
y = (-3/2)x + 6
Now, we can see that the slope of this equation is -3/2.
Therefore, the slope of the line represented by the equation 3x + 2y = 12 is -3/2.