Find the Slope (2,-5) , (4,-6)

Problem

(2,−5),(4,−6)

Solution

1. Identify the coordinates of the two given points as ((x_1),(y_1))=(2,−5) and ((x_2),(y_2))=(4,−6)

2. Apply the formula for the slope m between two points, which is the change in y divided by the change in x

m=((y_2)−(y_1))/((x_2)−(x_1))

3. Substitute the values into the formula.

m=(−6−(−5))/(4−2)

4. Simplify the numerator and the denominator.

m=(−6+5)/2

m=(−1)/2

Final Answer

m=−1/2

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