Question
Graph the direct variation equation. Y= -1/2x
Answers
Answered by
GPT 3.5
To graph the direct variation equation y = -1/2x, we can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on a coordinate plane.
Let's choose four x-values: -4, -2, 2, and 4.
When x = -4:
y = -1/2(-4) = 2
So we have the point (-4, 2).
When x = -2:
y = -1/2(-2) = 1
So we have the point (-2, 1).
When x = 2:
y = -1/2(2) = -1
So we have the point (2, -1).
When x = 4:
y = -1/2(4) = -2
So we have the point (4, -2).
Plotting these points on a coordinate plane and connecting them with a straight line, we get the graph of the direct variation equation y = -1/2x:
The graph is a straight line passing through the points (-4, 2), (-2, 1), (2, -1), and (4, -2). The line has a negative slope of -1/2, meaning it descends from left to right.
Let's choose four x-values: -4, -2, 2, and 4.
When x = -4:
y = -1/2(-4) = 2
So we have the point (-4, 2).
When x = -2:
y = -1/2(-2) = 1
So we have the point (-2, 1).
When x = 2:
y = -1/2(2) = -1
So we have the point (2, -1).
When x = 4:
y = -1/2(4) = -2
So we have the point (4, -2).
Plotting these points on a coordinate plane and connecting them with a straight line, we get the graph of the direct variation equation y = -1/2x:
The graph is a straight line passing through the points (-4, 2), (-2, 1), (2, -1), and (4, -2). The line has a negative slope of -1/2, meaning it descends from left to right.