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Find the slope of a line that passes through the points (0,9) and (6,0)

User Orka
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1 Answer

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Step 1. The two points that we have are:


\begin{gathered} (0,9) \\ (6,0) \end{gathered}

And we are required to find the slope of the line that passes through these points.

Step 2. We will label the two points as (x1,y1) and (x2,y2):


\begin{gathered} (0,9)\longrightarrow x_1=0,y_1=9 \\ (6,0)\longrightarrow x_2=6,y_2=0 \end{gathered}

Step 3. To find the slope, we will use the slope formula:


\text{slope}=(y_2-y_1)/(x_2-x_1)

Substituting the known values:


\text{slope}=(0-9)/(6-0)

Step 4. Simplify the operations:


\text{slope}=(-9)/(6)

Step 5. Simplify the fraction.

Both numbers 9 and 6 can be divided by 3.

9 divided by 3 is equal to 3,

and 6 divided by 3 is equal to 2.

Therefore, the fraction can be simplified as follows:


\text{slope}=-(3)/(2)

Answer:


\text{slope}=-(3)/(2)

User Berndinox
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