Question

Which is the graph of the linear equation x – 2y = 6?

A. On a coordinate plane, a line goes through points (-6, 0) and (0, 3).
B. On a coordinate plane, a line goes through points (0, -3) and (6, 0).
C. On a coordinate plane, a line goes through points (-6, 0) and (0, -3).
D. On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answer 1

The graph of the linear equation x - 2y = 6 is a line that goes through points (0, -3) and (6, 0).

Step-by-step explanation:

The given equation is x - 2y = 6.

To graph the equation, we can rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

By rearranging the equation, we get y = (1/2)x - 3. This tells us that the slope is 1/2 and the y-intercept is -3.

Therefore, the correct graph is option B, where a line goes through points (0, -3) and (6, 0).