Question

Choose the system of equations that matches the following graph:

Answer 1

Answer:

3x - y = 12 and x + 2y = - 10

Step-by-step explanation:

The first straight line passes through the points (2,-6) and (4,0).

Therefore, the equation of the straight line from two point form

$\frac{y - 0}{0 - (- 6)} = \frac{x - 4}{4 - 2}$

⇒ y = 3(x - 4) = 3x - 12

⇒ 3x - y = 12 .......... (1)

Again, the second straight line passes through the points (2,-6) and (0,-5).

Therefore, the equation of this straight line will be

$\frac{y - (- 5)}{- 5 - (- 6)} = \frac{x - 0}{0 - 2}$

⇒ - 2(y + 5) = x

⇒ x + 2y = - 10 ......... (1)

Therefore, (1) and (2) are the system of equations. (Answer)