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A line has a slope of 3/5. It passes through the points (5,3) and (x,9). What is the value of x?

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Final answer:

Using the slope formula, the value of x for a line passing through the points (5,3) and (x,9) with a slope of 3/5 is found to be 15.

Step-by-step explanation:

To find the value of x for the point (x,9) on a line with a slope of 3/5, we can use the slope formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Given the slope is 3/5, and the line goes through points (5,3) and (x,9), we can substitute into the slope formula:

3/5 = (9 - 3) / (x - 5)

3/5 = 6 / (x - 5)

Now we cross multiply to solve for x:

3*(x - 5) = 5*6

3x - 15 = 30

3x = 30 + 15

3x = 45

x = 45 / 3

x = 15

Therefore, the value of x is 15.

User Hamid Waezi
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