metchelle
Answered

Which equation represents the relationship shown in the table below?

Ay = –x – 3
By = x – 3
Cy = 2x − 3
Dy = ­­–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=

Verified Answer :

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:
 \(y = mx + b\)
 Where,
 m: slope of the line
 b: cut with the "y" axis
 The slope is given by:
 \(m= \frac{y2-y1}{x2-x1}\)
 Substituting values:
 \(m= \frac{3-1}{3-2}\)
 Rewriting:
 \(m= \frac{2}{1}\)
 \(m = 2\)
 The cut point occurs when x = 0. Therefore, from the table we observe that:
 \(b = - 3\)
 Substituting values we have:
 \(y=2x-3\)
 Answer:
 C. y = 2x − 3

Related Questions