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Which equation represents the relationship shown in the table below?

A. y = –x – 3
B. y = x – 3
C. y = 2x − 3
D. y = ­­–2x + 3

Which equation represents the relationship shown in the table below A y x 3 B y x 3 C y 2x 3 D y 2x 3 class=

Respuesta :

Krose1
The answer is C because every time you plug in the x-coordinate, the correct y-coordinate comes out. The last ordered pair is (3,3). When you plug in the 3, the equation is y=2(3)-3.  Multiply, and y=6-3.  Subtract and the answer is y=3, which is correct. This works for all the ordered pairs in this equation, so the equation is C: y=2x-3.
carlosego
The generic equation of the line is:
 [tex]y = mx + b [/tex]
 Where,
 m: slope of the line
 b: cut with the "y" axis
 The slope is given by:
 [tex]m= \frac{y2-y1}{x2-x1} [/tex]
 Substituting values:
 [tex]m= \frac{3-1}{3-2} [/tex]
 Rewriting:
 [tex]m= \frac{2}{1} [/tex]
 [tex]m = 2[/tex]
 The cut point occurs when x = 0. Therefore, from the table we observe that:
 [tex]b = - 3 [/tex]
 Substituting values we have:
 [tex]y=2x-3[/tex]
 Answer:
 C. y = 2x − 3

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