Question

Find an ordered pair on the line in the graph that is equivalent to the ratio of 2:3. Enter the coordinates like this: (x, y) without any spaces.

Answer 1

By choosing a value for x based on the ratio 2:3 and solving within the equation y = 9 + 3x, we find that the ordered pair that satisfies the given ratio is (6, 9).

Step-by-step explanation:

To find an ordered pair on the line given by the equation y = 9 + 3x that has a ratio equivalent to 2:3, we simply need to choose a value for x that makes the ratio of x:y equal to 2:3. Due to the straightforward nature of the equation (with slope m = 3 and y-intercept b = 9), we can manipulate x to satisfy our ratio.

For the ratio 2:3, if we set x = 2k and y = 3k for some constant k, then our equation becomes 3k = 9 + 3(2k). Solving for k, we get k = 3. Therefore, our ordered pair is (2k, 3k) = (6, 9).