Question

Which line contains the point (2,1)

4x-y=7
2x+5y=4
7x-y=15
X+5y=21

Answer 1

4x - y = 7.

Explanation:

We substitute for x and y and see if they fit.

4x - y = 7

4(2) - 1 = 7

So it is the first line.

Answer 2

Answer: First option.

Explanation:

To find which line contains the point (2,1), we can substitute the coordinates into each equation of the line provided in the options:

First option:

`4x-y=7\\4(2)-1=7\\7=7`

It contains the point (2,1)

Second option:

`2x+5y=4\\2(2)+5(1)=4\\9\\eq 4`

It does not contain the point (2,1)

Third option:

`7x-y=15\\7(2)-1=15\\13\\eq15`

It does not contain the point (2,1)

Fourth option:

`x+5y=21\\2+5(1)=21\\7\\eq 21`

It does not contain the point (2,1)