Question

If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?

(A) −2 (B) −1 (C) 0.5 (D) 1 (E) 3

Answer 1

A = -1

So, option (B) is the correct answer.

Explanation:

The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)

Slope of line = A

Slope of line =
`(y_(2) - y_(1))/(x_(2) -x_(1))`

Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴

`A = (y_(2) - y_(1))/(x_(2) -x_(1))`

`A = (-3 - A)/(2 - 0)`

`2A = -3 - A`

`2A + A = -3`

`3A = -3`

`A = -1`

So, option (B) is the correct answer.