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Q: You can choose any two distinct points on a line to calculate the slope?

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This is true as long as the slope of the line is constant, if it is a straight line and doesn't curve, then yes it doesn't matter which points are chosen.

Calculate the difference of the y-coordinates, and divide it by the difference of the x-coordinates. That is the slope.

It work out as a 1/2 or 0.5

To find the slope of any line y = f(x) differentiate with respect to x: slope = dy/dx; the slope at any point can then be found by substituting the value of the x coordinate of that point. If you mean how to find the slope of a straight line: slope = change_in_y/change_in_x Taking any two points on the line (x0, y0) and (x1, y1) this becomes: slope = (y_of_first_point - y_of_second_point)/(x_of_first_point - x_of_second_point) → slope = (y1 - y0)/(x1 - x0) As it doesn't matter which is chosen as the first point, the slope can also be written as: slope = (y0 - y1)/(x0 - x1)

Points: (-1, -1) and (3, 15) Slope: 4

Related questions

Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).

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Slope of line: (y2 -y1)/(x2-x1)

This is true as long as the slope of the line is constant, if it is a straight line and doesn't curve, then yes it doesn't matter which points are chosen.

true

You need two points before you can calculate the slope.

The slope is calculated as: y1-y2/x1-x2 given two sets of points

Points: (-3, -1) and (3, -2) Slope: -1/6

Points: (x, y) and (x, y) Slope: y1-y2/x1-x2

True

If you mean points of: (5, 0) and (6, 2) then the slope works out as 2

0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.

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