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Find y if the line through (3, y) and (5, 9) has a slope of 2.

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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.

User Rinat Abdullin
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