When given a point on a graph, (3,5) and the slope (-2), how do I find another point on the graph?

I assume you mean another point on the LINE.

If it is a line, y=mx+b

5=-2*(3) + b or
b=11

y=-2x + 11 So for any x on the line, compute the y.

Derive the equation for the graph.

It can be written
(y-5)/(x-3) = slope = -2
y-5 = -2x + 6
y = -2x + 11

Choose the x value you want for any point on the graph, and use that formula to compute the corresponding y value. For example, if x = 0, y = 11. If x = 11, y = -11

To find another point on the graph, you need to use the given slope and the given point as a starting point. The slope of a line indicates how steep the line is and in which direction it goes. In this case, the slope is -2, which means that for every 1 unit increase in the x-direction, the line decreases by 2 units in the y-direction.

To find another point, you can use this information to move from the given point (3, 5) to another point. Here's how you can do it:

1. Start at the given point (3, 5).
2. Since the slope is -2, for every 1 unit increase in the x-direction, the line goes down by 2 units in the y-direction.
3. Move one unit to the right from the starting point: Go to the point (3 + 1, 5).
4. Then, move two units down: Go to the point (4, 5 - 2).

Therefore, another point on the graph with the given slope and starting point is (4, 3).