183k views
4 votes
Choose the system of equations which matches the following graph: (5 points)

a line includes points 0 comma negative 5 and 2 comma negative 6. A line includes points 2 comma negative 6 and 4 comma 0

a
x + 2y = −10
3x − y = 12

b
x − 2y = −10
3x − y = 12

c
x + 2y = −10
3x + y = 12

d
x − 2y = −10
3x + y = 12

User Tashanna
by
8.8k points

2 Answers

6 votes
The correct answer is:
x + 2y = −10
3x − y = 12

Just did this test, and got that question correct.
Hope this helps!

User Gogol
by
8.9k points
3 votes

Answer with Step-by-step explanation:

A line includes points 0 comma negative 5 and 2 comma negative 6.

x + 2y = −10

satisfied at both (0, -5) and (2, -6)

x − 2y = −10

it is not satisfied at (0, -5)

A line includes points 2 comma negative 6 and 4 comma 0

3x − y = 12

satisfied at both (2, -6) and (4,0)

3x + y = 12

it is not satisfied at (2, -6)

Hence, the system contains:

x + 2y = −10

and 3x − y = 12

Hence, Correct option is:

a

x + 2y = −10

3x − y = 12

User Gembird
by
8.4k points