8095jewels 8095jewels
  • 18-11-2020
  • Mathematics
contestada

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

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

Respuesta :

absor201
absor201 absor201
  • 19-11-2020

Answer:

  • x-intercept will be: (-4, 0)
  • y-intercept will be: (0, 2)

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)

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