Graph the equation.

5x + y = -9

1 answer

To graph the equation 5x + y = -9, we can start by rearranging the equation to solve for y:

y = -5x - 9

Now, we can create a table of values by arbitrarily choosing values for x and calculating the corresponding values for y. Let's choose values for x ranging from -3 to 3:

x = -3: y = -5(-3) - 9 = 6
x = -2: y = -5(-2) - 9 = 1
x = -1: y = -5(-1) - 9 = -4
x = 0: y = -5(0) - 9 = -9
x = 1: y = -5(1) - 9 = -14
x = 2: y = -5(2) - 9 = -19
x = 3: y = -5(3) - 9 = -24

Next, we can plot these points on a graph:

(-3, 6), (-2, 1), (-1, -4), (0, -9), (1, -14), (2, -19), (3, -24)

Lastly, we can connect the points with a straight line. The graph of the equation 5x + y = -9 will look like this:

*[illustration gr3]