Y=3x-7

The equation provided is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 3 and the y-intercept is -7.

To graph the equation, you can follow these steps:

1. Plot the y-intercept, which is the point (0, -7).
2. Use the slope, which is 3, to find another point on the line. Since the slope is the ratio of the vertical change to the horizontal change, you can go up 3 units and right 1 unit (or down 3 units and left 1 unit). So, from the point (0, -7), you can move up 3 units to get the point (1, -4).
3. Connect the two points with a straight line. This line represents the graph of the equation y = 3x - 7.

Alternatively, if you prefer to use a table of values, you can choose any x-values you want and plug them into the equation to find the corresponding y-values. For example, if you choose x = -2 and x = 4, you can calculate the y-values as follows:

• When x = -2, y = 3(-2) - 7 = -6 - 7 = -13. So, one point on the graph is (-2, -13).
• When x = 4, y = 3(4) - 7 = 12 - 7 = 5. So, another point on the graph is (4, 5).

You can continue to choose other x-values and calculate the corresponding y-values to plot more points on the graph.