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

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Answer

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

Steps

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 $\boxed{2}$