Question

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

Answer 1

• x-intercept will be: (-4, 0)

• y-intercept will be: (0, 2)

Explanation:

Given the equation

`3x\:-\:6y\:=\:-12`

We know that x-intercept is obtained when we put y = 0,

so

`3x\:-\:6y\:=\:-12`

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,

`3x\:-\:6y\:=\:-12`

3(0) - 6y = -12

-6y = -12

y = 2

Therefore, y-intercept will be: (0, 2)