Calculate the slope of a line that intersects points (6,2) and (-4,-3).

Answers

Answer 1

Answer: Slope is the change in y coordinates over the change in x coordinates.

m = ∆y / ∆x
m = (2 - (-3)) / (6 - (-4))
m = (5) / (10)
m = 1/2

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Answer 2

Answer:

Final answer:

The slope of a line intersecting points (6,2) and (-4,-3) is calculated using the slope formula (m = (y2 - y1) / (x2 - x1)), and is found to be 0.5.

Explanation:

The slope of a line that intersects two points can be calculated using the slope formula, which is m = (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. In this case, the two points are (6,2) and (-4,-3). So, to calculate the slope (m), you need to substitute these values into the formula:

m = (-3 - 2) / (-4 - 6) = -5 / -10 = 0.5

Thus, the slope of the line that intersects these two points is 0.5.

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Explanation:

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