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15 votes
15 votes
Which of the following points lies on the line 2x+4y=10. Choices: (2,1) (-1,3) (-2,2) (2,2)

User Dotnetnoob
by
2.9k points

1 Answer

20 votes
20 votes

We need to substitute each point into the line in order to see if it belongs to the line.

If we substitute point (2,1) we have


2(2)+4(1)=10

on the left hand side, we get


4+4=8

but 8 its not equal to 10, then this point doesnt belongs to the line.

Similarly, if we substitute poin (-1,3), we obtain


\begin{gathered} 2(-1)+4(3)=10 \\ -2+12=10 \\ 10=10 \end{gathered}

since both sides have the same value (10), then this point is on the line.

Now, if we substitute point (-2,2), we get


\begin{gathered} 2(-2)+4(2)=10 \\ -4+8=10 \\ 4=10\text{ !!!} \end{gathered}

since both side are not equal, then this point doesnt belongs to the line.

Finally, if we substitute point (2,2), we obtain


\begin{gathered} 2(2)+4(2)=10 \\ 4+8=10 \\ 12=10\text{ !!!} \end{gathered}

since both side are not equal, then this point doesnt belongs to the line.

Therefore, the points which belong to the line are: (2,1) and (-1,3)

User Heer Makwana
by
3.0k points
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