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24 votes
24 votes
Write the equation containing the points (-2,4) and (1,10).

User Berna
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1 Answer

23 votes
23 votes

Answer:

y=2x+8

Explanation:

Given the two points:


\begin{gathered} (x_1,y_1)=(-2,4) \\ \mleft(x_2,y_2\mright)=\mleft(1,10\mright) \end{gathered}

In order to find the equation of the line connecting them, we employ the use of the two-points formula given below:


(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)

Substitute the values:


(y-4)/(x-(-2))=(10-4)/(1-(-2))

Next, simplify:


\begin{gathered} (y-4)/(x+2)=(6)/(3)=2 \\ \implies y-4=2(x+2) \\ \implies y=2(x+2)+4 \\ \implies y=2x+4+4 \\ \implies y=2x+8 \end{gathered}

The equation containing the points (-2,4) and (1,10) is y=2x+8.

User Elliott B
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3.2k points