We are asked to find two ordered pairs for the line y = 1/2x - 3.
Our equation y = mx + b has defined two of the variables that we will need:
• b: the y-intercept of the equation
• m: the slope of the equation
If we examine a basic graph, we can see that when there is a y-intercept, the value for x is equivalent to 0. This gives us our first ordered pair in (x, y) form: (0, -3).
We will now find the next ordered pair that is 1 unit up and 2 units horizontal of -3. This will be one unit up (going from -3 to -2) and two units to the right (going from 0 to 2). Therefore, the second ordered pair is (2, -2).
An image of the graph is provided below as well as the table.