what is the slope and y-intercept of the line 3x-2y=12?
-2y=-3x+12
y=2/3x-6
so, slope is 2/3, y-intercept is -6.
To find the slope and y-intercept of the line 3x - 2y = 12, we need to rearrange the equation into slope-intercept form, which is of the form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's solve for y:
3x - 2y = 12
First, isolate the -2y term by subtracting 3x from both sides:
-2y = -3x + 12
Next, divide through by -2 to solve for y:
y = (3/2)x - 6
Now we can identify the slope and y-intercept.
The coefficient of x, 3/2, represents the slope of the line. So, the slope is 3/2.
The constant term -6 represents the y-intercept, which is the point where the line crosses the y-axis. Therefore, the y-intercept is -6.
In summary, the slope of the line 3x - 2y = 12 is 3/2, and the y-intercept is -6.