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it doesn't matter which of the two points on a line you choose to call (x1,y1) and which you choose to call (x2,y2) to calculate the slope of the line . true or false.

User ClD
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1 Answer

4 votes

True

Step-by-step explanation

the slope of a lines is the change in y over the change in x


\text{slope}=\frac{change\text{ in y}}{\text{change in x}}=(y_2-y_1)/(x_2-x_1)

where


\begin{gathered} \text{P1}=(x_1,y_1) \\ P2=(x_2,y_2) \end{gathered}

Step 1

Now, to prove , make


\begin{gathered} P1(x_2,y_2) \\ P2(x_1,y_1) \\ \end{gathered}

now, replace


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

and we get the same slope, it does not matter wich one of the two points we choose to call P1 and P2.

True

I hope this helps you

User Faradaj
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