Graph the proportional relationship Y equals negative 2X by plotting points

Answer 1

To graph the proportional relationship Y = -2X, we can plot several points to see the line formed by connecting them.

Let's choose a few values of X and calculate the corresponding values of Y using the equation Y = -2X:

When X = 0: Y = -2(0) = 0
When X = 1: Y = -2(1) = -2
When X = 2: Y = -2(2) = -4
When X = 3: Y = -2(3) = -6

Plotting these points on a graph and connecting them will result in a straight line that passes through the origin (0,0) and has a slope of -2.

The graph of the proportional relationship Y = -2X is as follows:

(image)
The line passes through the points (0,0), (1,-2), (2,-4), and (3,-6), and extends indefinitely in both directions.