Identify the x-intercept and y-intercept of the line 3x - 6y= - 12.
To find the x-intercept and y-intercept of a line, you need to solve the equation for each intercept separately.
The x-intercept is the point where the line crosses the x-axis, which means the y-coordinate of this point is 0. To find the x-intercept, substitute y = 0 into the equation and solve for x:
3x - 6(0) = -12
3x = -12
x = -12/3
x = -4
So the x-intercept is (-4, 0).
The y-intercept is the point where the line crosses the y-axis, which means the x-coordinate of this point is 0. To find the y-intercept, substitute x = 0 into the equation and solve for y:
3(0) - 6y = -12
-6y = -12
y = -12/-6
y = 2
Therefore, the y-intercept is (0, 2).