Answer:
To plot the points on a graph paper, you need to draw the x and y axes first. Then, plot the points (-2, 3), (-2, 0), (2, 0), and (2, 6) on the graph paper by counting the number of units from the origin (0, 0) in the x and y directions. Once you have plotted the points, join them consecutively to form triangle ABC.
To find the area of triangle ABC, you can use the formula:
Area = 1/2 * base * height
where the base is the length of BC and the height is the perpendicular distance from A to BC. To find the length of BC, you can use the distance formula:
BC = sqrt[(2 - (-2))^2 + (0 - 0)^2] = 4
To find the height, you need to draw a perpendicular line from A to BC and find its length. Since A is located at (-2, 3) and the line BC is horizontal, the perpendicular line from A to BC is vertical and passes through the point (-2, 0). Therefore, the height is equal to the distance between (-2, 3) and (-2, 0), which is 3 units.
Substituting the values into the area formula, we get:
Area = 1/2 * 4 * 3 = 6 square units
Therefore, the area of triangle ABC is 6 square units.