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A linear graph contains the points of (0, -7), (1, -3), (2, 1), (3, 5), (4, 9). Is the function of the graph y = 4x - 7?

Answer 1

Genesis Allen

#y=4x-7" is the equation"#

#"check the coordinates of each point on the given equation"#

#"by substituting in x-coordinate to obtain y"#

#(0,-7)toy=0-7=-7larr"correct"#

#(1,-3)toy=4-7=-3larr" correct"#

#(2,1)toy=8-7=1larr"correct"#

#(3,5)toy=12-7=5larr"correct"#

#(4,9)toy=16-7=9larr"correct"#

#"all points satisfy the equation "y=4x-7#

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Answer 2

Kennedy Adams

Seeing the solution graphically:

Expanding on this answer, here it is graphically:

graph{(y-4x+7)((x-0)^2+(y+7)^2-.1)((x-1)^2+(y+3)^2-.1)((x-2)^2+(y-1)^2-.1)((x-3)^2+(y-5)^2-.1)((x-4)^2+(y-9)^2-.1)=0[-10,10,-5,5]}

scroll around on the graph to see all the points listed on the line.

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Answer 3

Isaiah Anthony

Yes, the function of the graph is y = 4x - 7.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.