The slope of the points (3, -5) and (-2, 4) is -9/5.
Slope in general term means that the elevation or the steepness of any curve. We use slope in order to find the equation of the line between two points. The formula for finding the slope between two points (x₁, y₁) and (x₂, y₂) is expressed as
m = (y₂ - y₁)/(x₂ - x₁)
where m is the slope between the points, y₂ - y₁ is difference between the y coordinates and x₂ - x₁ is the difference between the x coordinates for the same y coordinates.
We have (x₁, y₁) = (3, -5) and (x₂, y₂) = (-2, 4)
So, the slope will be
m = (4 + 5)/(-2 -3)
m = 9/(-5)
m = -9/5 which is the required slope.
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Complete Question:
What is the slope given the points (3, -5) and (-2, 4)?