What are the intercepts of the following
equation?
3x - 6y = -12

Answer:
Step-by-step explanation:
Given the equation
[tex]3x\:-\:6y\:=\:-12[/tex]
We know that x-intercept is obtained when we put y = 0,
so
[tex]3x\:-\:6y\:=\:-12[/tex]
3x - 6(0) = -12
3x = -12
x = -4
Therefore, x-intercept will be: (-4, 0)
We know that y-intercept is obtained when we put x = 0,
[tex]3x\:-\:6y\:=\:-12[/tex]
3(0) - 6y = -12
-6y = -12
y = 2
Therefore, y-intercept will be: (0, 2)