You are tasked to graph the equation y= -2/7 x +6

Answer 1

To graph the equation y = -2/7x + 6, we can follow these steps:

1. Choose a range of x-values to plot the graph. Let's say x-values from -14 to 14 will be sufficient.

2. Plug the x-values into the equation to find the corresponding y-values.
For example, when x = -7: y = -2/7(-7) + 6 = 2 + 6 = 8
when x = 0: y = -2/7(0) + 6 = 6
when x = 7: y = -2/7(7) + 6 = -2 + 6 = 4

3. Plot these points (-7, 8), (0, 6), (7, 4) and draw a straight line passing through them.

4. Extend the line beyond the plotted points to get a clear view of the line's direction.

The graph of the equation y = -2/7x + 6 will be a straight line that slopes downwards from left to right.