Graph the direct variation y=−1.5x. Using the graph, find:The value of y corresponding to the value of x equal to 1; 0; 2; 3
any answers?
any answers
To graph the equation y = -1.5x, you'll need to plot some points and draw a straight line passing through them.
Let's find the value of y corresponding to different values of x:
For x = 1:
y = -1.5 * 1 = -1.5
So, when x = 1, y = -1.5.
For x = 0:
y = -1.5 * 0 = 0
So, when x = 0, y = 0.
For x = 2:
y = -1.5 * 2 = -3
So, when x = 2, y = -3.
For x = 3:
y = -1.5 * 3 = -4.5
So, when x = 3, y = -4.5.
Now, plot the points (1, -1.5), (0, 0), (2, -3), and (3, -4.5) on a graph and draw a straight line passing through them.
To graph the direct variation y = -1.5x, we need to plot a few points and then connect them with a straight line.
Let's choose values for x and calculate the corresponding values of y:
For x = 1:
y = -1.5 * 1 = -1.5
For x = 0:
y = -1.5 * 0 = 0
For x = 2:
y = -1.5 * 2 = -3
For x = 3:
y = -1.5 * 3 = -4.5
Now, let's plot these points on a graph:
Point (1, -1.5)
Point (0, 0)
Point (2, -3)
Point (3, -4.5)
Once we have the points plotted, we can connect them with a straight line. The graph should show a downward sloping line going through the points.
To find the corresponding values of y for specific values of x, we can look at the graph or substitute the given x values into the equation.
For x = 1, we already calculated y as -1.5.
For x = 0, we calculated y as 0.
For x = 2, we calculated y as -3.
For x = 3, we calculated y as -4.5.
Therefore, the corresponding values of y for x = 1, 0, 2, and 3 are -1.5, 0, -3, and -4.5, respectively.