Problem

Knowledge Check Question 3 Find the slope of the line passing through the points $(-3,-8)$ and $(4,6)$. Undefined

Solution

Step 1 :Identify the coordinates of the first point: (-3,-8)

Step 2 :Identify the coordinates of the second point: (4,6)

Step 3 :Calculate the change in y: 6 - (-8) = 14

Step 4 :Calculate the change in x: 4 - (-3) = 7

Step 5 :Apply the slope formula: slope = (change in y)/(change in x)

Step 6 :Substitute the values: slope = 14/7

Step 7 :Simplify the fraction: slope = 2

Step 8 :The slope of the line passing through the points (-3,-8) and (4,6) is \(\boxed{2}\)

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