What is the slope, m, and the coordinates of the y-intercept for the graph represented by this equation: 3x+2y=12
?
To find the slope, m, and the coordinates of the y-intercept, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation, 3x + 2y = 12, we can solve for y:
2y = -3x + 12
y = (-3/2)x + 6
Now we can see that the slope, m, is -3/2 and the y-intercept, b, is 6.
Therefore, the slope is -3/2 and the coordinates of the y-intercept are (0, 6).