Answer:
The answer is y ≤ -x + 4 ⇒ the first answer
Step-by-step explanation:
∵ The point is (-1 , -4)
∵ y ≤ -x + 4 ⇒ -1 ≤ -(-1) + 4
∴ -1 ≤ 5 ⇒ right inequality
If we try the others
y ≤ -x - 6 ⇒ -1 ≤ -(-1) - 6 ⇒ -1 ≤ -5 not true
y ≤ 2x - 3 ⇒ -1 ≤ 2(-1) - 3 ⇒ -1 ≤ -5 not true
y ≤ 5x - 1 ⇒ -1 ≤ 5(-1) - 1 ⇒ -1 ≤ -6 not true
∴ The answer is first one
Answer:
1st Graph is correct.
Step-by-step explanation:
Given: Point ( -1 , -4 )
To find : Graph in which given point belong.
We find by putting given point in each graph.
Graph 1).
y ≤ -x + 4
LHS = y = -4
RHS = -x + 4 = -(-1) + 4 = 1 + 4 = 5
LHS ≤ RHS.
So, Given point belong to this graph.
Graph 2).
y ≤ -x - 6
LHS = y = -4
RHS = -x - 6 = -(-1) - 6 = 1 - 6 = -5
LHS ≥ RHS.
So, Given point does not belong to this graph.
Graph 3).
y ≤ 2x - 3
LHS = y = -4
RHS = 2x - 3 = 2(-1) - 3 = -2 - 3 = -5
LHS ≥ RHS.
So, Given point does not belong to this graph.
Graph 4).
y ≤ 5x - 1
LHS = y = -4
RHS = 5x - 1 = 5(-1) - 1 = -5 - 1 = -6
LHS ≥ RHS.
So, Given point does not belong to this graph.
Therefore, 1st Graph is correct.
