Calculate Slope Between Points (4,1) and (2,5): Two-Point Formula

Calculate the slope of the line that passes through the points (4,1),(2,5) (4,1),(2,5) .

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Step-by-step video solution

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00:00 Find the slope of the graph
00:03 We will find the slope using 2 points
00:12 We will use the formula to find the slope using 2 points
00:28 We will substitute appropriate values according to the given data and solve to find the slope
00:45 This is the slope of the graph
00:49 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the slope of the line that passes through the points (4,1),(2,5) (4,1),(2,5) .

2

Step-by-step solution

Remember the formula for calculating a slope using points:

Now, replace the data in the formula with our own:

(5−1)(2−4)=4−2=−2 \frac{(5-1)}{(2-4)}=\frac{4}{-2}=-2

3

Final Answer

-2

Practice Quiz

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What is the solution to the following inequality?

\( 10x-4≤-3x-8 \)

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