To which graph does the point (−1, 4) belong?

Question

To which graph does the point (-1, 4) belong? Consider the following inequalities:

( y \leq -x + 4 )  
( y \leq -x - 5 )  
( y \leq 2x - 3 )  
( y \leq 5x + 1 )

Could you help determine which of these graphs includes the point (-1, 4)?

Anonymous · Accepted Answer

By replacing the point (-1, 4) into the first inequality y

Anonymous · Answer

Option A is correct.Step-by-step explanation:Given coordinates of the point ( -1 , 4 )Option Ay ≤ -x + 4LHS = y = 4RHS = -x + 4 = -(-1) + 4 = 5LHS ≤ RHSSo, Given point belong to this graph.Option By ≤ -x - 5LHS = y = 4RHS = -x - 5 = -(-1) - 5 = -4LHS ≥ RHSSo, Given point does not belong to this graph.Option Cy ≤ 2x - 3LHS = y = 4RHS = 2x - 3 = 2(-1) - 3 = -5LHS ≥ RHSSo, Given point does not belong to this graph.Option Dy ≤ 5x + 1LHS = y = 4RHS = 5x + 1 = 5(-1) + 1 = -4LHS ≥ RHSSo, Given point does not belong to this graph.Therefore, Option A is correct.

Samara Hintz · Answer

First oneStep-by-step explanation:Due to slope form which is y=mx + b.-1 = x and y = 4.It does not show the one because it would be equal to X, but it does show the negative

Anonymous · 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 = -4RHS = -x + 4 = -(-1) + 4 = 1 + 4 = 5 LHS ≤ RHS.So, Given point belong to this graph.Graph 2).y ≤ -x - 6LHS = y = -4RHS = -x - 6 = -(-1) - 6 = 1 - 6  = -5LHS ≥ RHS.So, Given point does not belong to this graph.Graph 3).y ≤ 2x - 3LHS = y = -4RHS = 2x - 3 = 2(-1) - 3 = -2 - 3  = -5LHS ≥ RHS.So, Given point does not belong to this graph.Graph 4).y ≤ 5x - 1LHS = y = -4RHS = 5x - 1 = 5(-1) - 1 = -5 - 1  = -6LHS ≥ RHS.So, Given point does not belong to this graph.Therefore, 1st Graph is correct.

Anonymous · Answer

AStep-by-step explanation: The only points that are on point A are (0,4) and 4,0) The only points that are on line B are (-6,0 ) and (0,-6)The only points that are on point C are (1.5,0) and (0,-3)The only points that are on point D are (0.2) (0,-1)we have to find where (-1,-4) fall in those points and yes it´s belongs with the first set so Yes the Answer is A

Anonymous · Answer

The answer is y ≤ -x + 4 ⇒ the first answerStep-by-step explanation:∵ The point is (-1 , -4)∵ y ≤ -x + 4 ⇒ -1 ≤ -(-1) + 4∴ -1 ≤ 5 ⇒ right inequalityIf we try the othersy ≤ -x - 6 ⇒ -1 ≤ -(-1) - 6 ⇒ -1 ≤ -5 not truey ≤ 2x - 3 ⇒ -1 ≤ 2(-1) - 3 ⇒ -1 ≤ -5 not truey ≤ 5x - 1 ⇒ -1 ≤ 5(-1) - 1 ⇒ -1 ≤ -6 not true∴ The answer is first one

Anonymous · Answer

Insert x = -1 and y = 4 into the first inequality:-4

Anonymous

To which graph does the point (−1, 4) belong?

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