Answer :

absor201

The x-intercept is -6

Step-by-step explanation:

In order to find the x-intercept, we put y = 0 and to find the y-intercept we put x = 0

In the given method, x is put equal to zero instead of y as x-intercept had to be found.

Given equation is:

[tex]-2x+3y=12[/tex]

[tex]-2x + 3(0) = 12\\-2x +0 = 12\\-2x = 12[/tex]

Dividing both sides by -2

[tex]\frac{-2x}{-2} = \frac{12}{-2}\\x = -6[/tex]

The x-intercept is -6

Keywords: Coordinate geometry, Intercepts

Learn more about intercepts at:

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