Plot the following points and connect them to make a triangle.A(−2, 3), B(0, −3), C(3, −2)Does your triangle represent a RIGHT triangle?*Think about perpendicular slopes to determine if they form a right angle or not

To plot the points A(-2, 3), B(0, -3), and C(3, -2), we can use a coordinate plane.

1. Draw the x and y axes on a piece of graph paper or a coordinate plane.
2. Locate point A at (-2, 3). This means that the x-coordinate is -2 and the y-coordinate is 3. Mark this point on the graph.
3. Locate point B at (0, -3). This means that the x-coordinate is 0 and the y-coordinate is -3. Mark this point on the graph.
4. Locate point C at (3, -2). This means that the x-coordinate is 3 and the y-coordinate is -2. Mark this point on the graph.
5. Connect the points A, B, and C with straight lines to form a triangle.

To determine if the triangle is a right triangle, we need to consider the slopes of the lines connecting the points.

The slope of a line can be found using the formula: slope = (change in y) / (change in x).

For the line segment AB, the slope is (3 - (-3)) / (-2 - 0) = 6 / -2 = -3. For the line segment BC, the slope is (-2 - (-3)) / (3 - 0) = 1 / 3.

If the slopes of two lines are negative reciprocals of each other, then the lines are perpendicular and the triangle is a right triangle.

In this case, the slope of AB is -3 and the slope of BC is 1/3. Since -3 and 1/3 are not negative reciprocals of each other, the triangle formed by points A, B, and C is not a right triangle.