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r3t40
Point B and C. Hope this helps.

For this case, we must indicate which of the points comply with the following equation:

[tex]y = 5x[/tex]

Point A: [tex](5, -1)[/tex]

[tex]-1 = 5 (5)\\-1 = 25[/tex]

Equality is not met.

Point B: [tex](1,5)[/tex]

[tex]5 = 5 (1)\\5 = 5[/tex]

Is fulfilled.

Point C: [tex](0,0)[/tex]

[tex]0 = 5 (0)\\0 = 0[/tex]

Is fulfilled.

Point D:[tex](-3,2)[/tex]

[tex]2 = 5 (-3)\\2 = -15[/tex]

It is not fulfilled

Thus, the points that belong to the line are:

[tex](1,5)\ and\ (0,0)[/tex]

ANswer:

Option B and C