3x – 7y < –21

how would I graph this?

Please help.

type in the formula at

wolframalpha.com

Thank You so much!!!!!

You will find that a wonderful resource for graphing and solving equations and so forth.

Another excellent graphing resource is
http://rechneronline.de/function-graphs

To graph the inequality 3x - 7y < -21, you can follow these steps:

Step 1: Begin by graphing the equivalent equation 3x - 7y = -21.
- To graph the equation, you need to find two points on the line. You can do this by assigning arbitrary values to either x or y and solving for the other variable. Let's choose y = 0:
Substitute y = 0 into the equation: 3x - 7(0) = -21.
Simplify the equation: 3x = -21.
Solve for x: x = -7.
So, you have the first point (-7, 0).
- Now let's choose x = 0:
Substitute x = 0 into the equation: 3(0) - 7y = -21.
Simplify the equation: -7y = -21.
Solve for y: y = 3.
So, you have the second point (0, 3).

Step 2: Plot the two points (-7, 0) and (0, 3) on a coordinate plane.
- Draw an x-axis and a y-axis, and label them accordingly.
- Locate the point (-7, 0) by moving 7 units to the left on the x-axis from the origin (0, 0). This represents x = -7. Then, draw a point at that location.
- Locate the point (0, 3) by moving 3 units up on the y-axis from the origin (0, 0). This represents y = 3. Then, draw another point at that location.

Step 3: Identify the boundary line that connects the two plotted points.
- Connect the two points (-7, 0) and (0, 3) with a straight line. This line represents the equation 3x - 7y = -21.

Step 4: Determine the shading based on the inequality 3x - 7y < -21.
- Choose a test point that is not on the line. For simplicity, let's use the origin (0, 0) as the test point.
- Substitute the x and y values of the test point into the inequality 3x - 7y < -21:
3(0) - 7(0) < -21.
Simplify: 0 < -21.

Since the inequality is not true (0 is not less than -21), shade the region that does not include the origin. This means shading below the boundary line (since the test point, the origin, is not below the line).