Question

fill in all the blanks.

x	y
7	5
10

submit

Explanation:

Step1: Identify points on graph

The two visible points on the graph have coordinates approximately (8, 5) and (8, 1).

Step2: Analyze table - x = 10

We need to find the y - value for x = 10. Since we don't have enough information from the graph to directly determine a linear or other relationship precisely, assume we are looking for points on the same general pattern. But with only two points from the graph and the given table values, we can't establish a definite rule. However, if we consider the trend in the table where as x increases from 4 to 7, y decreases from 7 to 5. If we assume a linear - like decrease, when x increases from 7 to 10 (an increase of 3), and since when x increased from 4 to 7 (an increase of 3), y decreased by 2, then y might decrease by 2 more. So y for x = 10 might be 3.

Step3: Find another pair

We can add another pair. Let's assume a simple linear - like pattern. If we consider the slope between (4,7) and (7,5) is $m=\frac{5 - 7}{7 - 4}=-\frac{2}{3}$. Let's find a new x - value, say x = 1. Using the point - slope form $y - y_1=m(x - x_1)$ with the point (4,7), we have $y-7=-\frac{2}{3}(x - 4)$. When x = 1, $y-7=-\frac{2}{3}(1 - 4)=2$, so $y = 9$.

Answer:

x	y
7	5
10	3
1	9