Respuesta :

Answer:

x-intercept = (-2,0)

y - intercept = (0,6)

Step-by-step explanation:

Given in the question an equation

3x - y = -6

To find x-intercept plug y = 0

3x - 0 = -6

3x = -6

x = -6/3

x = -2

To find y-intercept plug x = 0

3(0 ) -y = -6

0 - y = -6

-y = -6

y = 6

ANSWER

Y-intercept: (0,6)

X-intercept (-2,0)

EXPLANATION

The given equation is

[tex]3x - y = - 6[/tex]

At y-intercept , x=0

We put x=0 into the equation to obtain;

[tex]3(0) - y = - 6[/tex]

This implies that,

[tex]0 - y = - 6[/tex]

[tex] - y = - 6[/tex]

[tex]y = 6[/tex]

The y-intercept is (0,6).

At x-intercept, y=0.

Put y=0 into the equation and solve for x.

[tex]3x - 0 = - 6[/tex]

[tex]3x = - 6[/tex]

[tex]x = - 2[/tex]

The x-intercept is (-2,0)

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