Question

Find the x-intercep and the y-intercept for the graph of the equation 3x-y=-6

Answer 1

Y-intercept: (0,6)

X-intercept (-2,0)

EXPLANATION

The given equation is

`3x - y = - 6`

At y-intercept , x=0

We put x=0 into the equation to obtain;

`3(0) - y = - 6`

This implies that,

`0 - y = - 6`

`- y = - 6`

`y = 6`

The y-intercept is (0,6).

At x-intercept, y=0.

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

`3x - 0 = - 6`

`3x = - 6`

`x = - 2`

The x-intercept is (-2,0)

Answer 2

x-intercept = (-2,0)

y - intercept = (0,6)

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