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It is easiest to measure slope by using points that are exactly where? Where the coordinate grid crossesIn between the boxes.

Question

It is easiest to measure slope by using points that are exactly where?

Where the coordinate grid crosses
In between the boxes.

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Solution

The easiest way to measure slope is by using points that are exactly on the grid lines of the coordinate grid. This is because these points have exact, whole number coordinates which makes calculating the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) much simpler.

Here are the steps to measure the slope using points on the grid lines:

  1. Choose two points that lie on the grid lines. Make sure these points lie on the line whose slope you want to measure.

  2. Write down the coordinates of these two points. Let's say the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).

  3. Calculate the difference in the y-coordinates. This is done by subtracting the y-coordinate of the first point from the y-coordinate of the second point (y2 - y1). This gives you the rise.

  4. Calculate the difference in the x-coordinates. This is done by subtracting the x-coordinate of the first point from the x-coordinate of the second point (x2 - x1). This gives you the run.

  5. Divide the rise by the run to get the slope. This is done by dividing the difference in the y-coordinates by the difference in the x-coordinates ((y2 - y1) / (x2 - x1)).

  6. The result is the slope of the line.

Remember, if the slope is positive, the line rises from left to right. If the slope is negative, the line falls from left to right. If the slope is zero, the line is horizontal. If the slope is undefined, the line is vertical.

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