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The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are two points on the line.

For the line that passes through the points A(-2, -1) and B(3, 5), we have:

m = (y2 - y1) / (x2 - x1) = (5 - (-1)) / (3 - (-2)) = 6 / 5 = 1.2

So the slope of the line that passes through the points A(-2, -1) and B(3, 5) is 1.2.

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Q: Find the slope of the line that passes through the points A(-2, -1) B(3, 5)?

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Not always. For example, try to find the slope of the line that passes through the points (3, 4) and (2, 3).

It is a straight line with no slope with a 'y' intercept of 2

Slope, m, equals (y2-y1)/(x2-x1). Slope is (8-2)/(8-2) or 1.

Another set of points are needed to find the slope.

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It's not possible because the given points would be a vertical line parallel to the y axis

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