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What is the slope between the points (0,–5) and (–9,1)?

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Final answer:

The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.

Step-by-step explanation:

To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.

Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.

User Bburrier
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Answer:

m= 2/3

Step-by-step explanation:

m= rise/run= y2- y1/ x2-x1

m= 1– -5 / -9-0

m= 6 / -9

m= 2/3

User InspectorSands
by
8.5k points

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