Question

The equation of the graphed line is 2x – 3y = 12.
What is the x-intercept of the graph?
-4. -3/2. 2/3. 6​

Answer 1

Hello there! The x-intercept is 6.

The x-intercept is when the y value id equal to zero, and the line crosses the x axis. In this example, you can see that the line passes through x at the value of 6, making that your answer.

I hope this was helpful and have a great rest of your day!

Answer 2

Answer: LAST OPTION.

Step-by-step explanation:

You need to remember that a line intercepts the x-axis when y is equal to zero ($y=0$)

Knowing this and given the graph of the line $2x -3y = 12$, you can observe in the figure attached that this line intercepts the x-axis at this point:

$(6,0)$

Where:

 $x=6$ and  $y=0$

Therefore, you can identify that the x-intercept is the x-coordinate of this point, which is:

$x=6$

This matches with the last option.