The correct graph is given by the second graph in the option and this can be determined by evaluating the y-intercept using slope-intercept form.
Given :
Linear Equation - x – 2y = 6
To sketch the graph of the line (x – 2y = 6) following steps can be used:
Step 1 - Rewrite the given equation.
[tex]y = \dfrac{1}{2}x-3[/tex]
Step 2 - Now, find the y-intercept by comparing the above equation with the slope-intercept form.
c = -3
Step 3 - Now, see the option and check which graph intersects the y-axis at (y=-3).
Therefore, the correct graph is given by option B).
For more information, refer to the link given below:
https://brainly.com/question/10712002
