Final answer:
To find ordered pairs for the equation 15x = 3y + 9, the equation is rewritten in the slope-intercept form as y = 5x - 3. By choosing different x values and solving for y, two ordered pairs such as (0, -3) and (1, 2) are obtained which can be plotted on a graph.
Step-by-step explanation:
To find two ordered pairs that represent points on the graph of 15x = 3y + 9, we first need to manipulate the equation into the slope-intercept form (y = mx + b), which reveals the slope (m) and the y-intercept (b) directly. Starting with the original equation, we need to isolate y on one side.
First, subtract 9 from both sides:
15x - 9 = 3y
Then, divide every term by 3 to solve for y:
(15x - 9) / 3 = y 5x - 3 = y
Now we have the equation in slope-intercept form: y = 5x - 3. To construct a table of values (similar to Table A1), choose two different x values and calculate the corresponding y values. For example:
• When x = 0, y = 5(0) - 3 = -3. So, the first ordered pair is (0, -3).
• When x = 1, y = 5(1) - 3 = 2. Thus, the second ordered pair is (1, 2).
Plotting these points and drawing a line through them will graph the equation of the given line.