Final answer:
To graph the points (-3, 5), (1, -3), and (-6, -4) to form a triangle, you plot these points on a graph and connect them. To create a congruent triangle, you move each point 2 units right and 3 units up.
Step-by-step explanation:
To graph the points (-3, 5), (1, -3), and (-6, -4) to form a triangle, you would plot these points on a graph and connect them. The first point (-3, 5) would be plotted 3 units to the left on the x-axis and 5 units up on the y-axis. The second point (1, -3) would be plotted 1 unit to the right on the x-axis and 3 units down on the y-axis. The third point (-6, -4) would be plotted 6 units to the left on the x-axis and 4 units down on the y-axis. You would then connect these points to form a triangle.
To translate the triangle 2 units right and 3 units up to create a congruent triangle, you would move each point of the original triangle 2 units to the right on the x-axis and 3 units up on the y-axis. So, the new coordinates for the first point would be (-1, 8), the new coordinates for the second point would be (3, 0), and the new coordinates for the third point would be (-4, -1).