Graph the proportional relationship y=−2x by plotting points.(1 point)
To graph the proportional relationship y = -2x, we can plot some points and connect them with a straight line.
For x = 0, y = 0
For x = 1, y = -2(1) = -2
For x = 2, y = -2(2) = -4
For x = 3, y = -2(3) = -6
The ordered pairs are:
(0, 0), (1, -2), (2, -4), (3, -6)
Plotting these points on a graph, we get:
To graph the proportional relationship y = -2x, we can choose different values for x and find the corresponding values for y.
Let's start by choosing an x-value: x = 0.
Substituting x = 0 into the equation, we get y = -2(0) = 0.
So, the first point we have is (0, 0).
Now, let's choose another x-value: x = 1.
Substituting x = 1 into the equation, we get y = -2(1) = -2.
So, the next point is (1, -2).
We can choose more x-values and find the corresponding y-values. But, for now, we have two points to plot on the graph: (0, 0) and (1, -2).
Now, we can plot these two points on a Cartesian plane. The x-axis represents the x-values, and the y-axis represents the y-values. Starting from the origin (0, 0), we move right 1 unit and down 2 units to plot the point (1, -2).
The graph of the proportional relationship y = -2x, using the plotted points, will form a straight line passing through the origin (0, 0) and the point (1, -2).