Question

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

(2, 1)
(1, 1)
(0, 1)

Answer 1

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

Answer 2

(1, 1)

Explanation:

Since, the equation of the line with slope m and passes through
`(x_1, y_1)` is,

`y-y_1=m(x-x_1)`

Here,

`x_1=0, y_1 = -1, m = 2`

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.