Problem

Find the equation of the line using the given information. $(x, y)=(-5,0)$ and $(x, y)=(-5,7)$ are points on the line

Answer

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Answer

Final Answer: The equation of the line is \(\boxed{x = -5}\).

Steps

Step 1 ：The equation of a line can be found using the formula y = mx + c, where m is the slope of the line and c is the y-intercept.

Step 2 ：The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula m = (y2 - y1) / (x2 - x1).

Step 3 ：However, in this case, the x-coordinates of the two points are the same, which means the line is vertical and its slope is undefined.

Step 4 ：Therefore, the equation of the line is x = -5.

Step 5 ：Final Answer: The equation of the line is \(\boxed{x = -5}\).

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