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?

Answer 1

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 = $\frac{y_{2} - y_{1}}{x_{2} -x_{1}}$

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

$A = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}$

$A = \frac{-3 - A}{2 - 0}$

$2A = -3 - A$

$2A + A = -3$

$3A = -3$

$A = -1$

So, option (B) is the correct answer.