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Alexandra [31]
2 years ago
14

Which equation shows the point slope form of the line that passes through (5,1) and has a slope of 1/2

Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

3rd option, y-1 = \frac{1}{2} (x-5)

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.  

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form. Substitute the m, x_1, and y_1 for real values.

Since m represents the slope, substitute \frac{1}{2} in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for x_1 and 1 for y_1. This gives the following equation:

y-1 = \frac{1}{2} (x-5)  

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