Final answer:
Using the slope formula, the value of y for the point (3, y) on the line with a slope of 2 passing through (5, 9) is determined to be 5.
Step-by-step explanation:
To find the value of y for the point (3, y) on a line that passes through (5, 9) with a slope of 2, we can use the slope formula which is:
slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
By plugging in the known values, we get:
2 = (9 - y) / (5 - 3) => 2 = (9 - y) / 2
Multiplying both sides by 2 to solve for y we get:
4 = 9 - y
Finally, adding y to both sides and subtracting 4 from both sides we find:
y = 9 - 4
y = 5
Therefore, the value of y is 5.