Graph the equation. -x + 2y =6

Answer 1

To graph the equation -x + 2y = 6, we first need to put it in slope-intercept form, which is y = mx + b.

Subtract -x from both sides and divide the entire equation by 2:

2y = x + 6
y = 0.5x + 3

Now that we have the equation in slope-intercept form, we can see that the slope is 0.5 and the y-intercept is 3.

To graph the equation, we start by plotting the y-intercept at (0,3).
Then, using the slope of 0.5, we move up 1 unit and to the right 2 units to find another point on the line.
Keep plotting points in this manner until you have enough to draw a straight line.

Once you have at least two points on the line, connect them to create the graph of the equation -x + 2y = 6. The graph should be a straight line that passes through the points you plotted.