Answer :

the slope is 2/1, So the rise is 2 and the run is 1. So, (1,1) is on the line

Answer:

(1, 1)

Step-by-step explanation:

Since, the equation of the line with slope m and passes through [tex](x_1, y_1)[/tex] is,

[tex]y-y_1=m(x-x_1)[/tex]

Here,

[tex]x_1=0, y_1 = -1, m = 2[/tex]

Thus, the equation of the line,

y + 1 = 2(x-0)

⇒ y + 1 = 2x

If a point lies on the line then it must satisfy the equation of the line,

For (2, 1)

1 + 1 ≠ 2(2)

For (1, 1)

1 + 1 = 2(1)

For (0, 1)

1 + 1 ≠ 2(0)

Thus, the point (1, 1) lies on the line.

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