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.