Answer:
A = -1
So, option (B) is the correct answer.
Step-by-step 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 = [tex]\frac{y_{2} - y_{1}}{x_{2} -x_{1}}[/tex]
Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴
[tex]A = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}[/tex]
[tex]A = \frac{-3 - A}{2 - 0}[/tex]
[tex]2A = -3 - A[/tex]
[tex]2A + A = -3[/tex]
[tex]3A = -3[/tex]
[tex]A = -1[/tex]
So, option (B) is the correct answer.
