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x y -2 -1 0 0 2 1 Which graph best represents the line defined by the table of ordered pairs? G

\begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline−2-2 & −1-1 \\\newline\hline 00 & 00 \\\newline\hline 22 & 11 \\\newline\hline\newline\end{tabular}\newlineWhich graph best represents the line defined by the table of ordered pairs?\newlineG

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Describe the graph of a linear equationright chevron icon

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Q. \begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline−2-2 & −1-1 \\\newline\hline 00 & 00 \\\newline\hline 22 & 11 \\\newline\hline\newline\end{tabular}\newlineWhich graph best represents the line defined by the table of ordered pairs?\newlineG
  1. Analyze Table of Ordered Pairs: Analyze the given table of ordered pairs.\newlineThe table provides three points: (−2,−1)(-2, -1), (0,0)(0, 0), and (2,1)(2, 1).\newlineWe can use these points to determine the slope of the line.
  2. Calculate Slope Using Points: Calculate the slope mm using two points from the table.\newlineLet's use (0,0)(0, 0) and (2,1)(2, 1) to find the slope.\newlineSlope m=y2−y1x2−x1=1−02−0=12m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{2 - 0} = \frac{1}{2}.\newlineThe slope of the line is 12\frac{1}{2}.
  3. Verify Consistency of Slope: Verify the slope with another pair of points to check for consistency.\newlineLet's use (−2,−1)(-2, -1) and (0,0)(0, 0).\newlineSlope m=y2−y1x2−x1=0−(−1)0−(−2)=12m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-1)}{0 - (-2)} = \frac{1}{2}.\newlineThe slope is consistent with the previous calculation.
  4. Determine Y-Intercept of Line: Determine the y-intercept (b)(b) of the line.\newlineSince the point (0,0)(0, 0) is given, the y-intercept is 00.\newlineThe equation of the line is y=(12)x+0y = (\frac{1}{2})x + 0, which simplifies to y=12xy = \frac{1}{2}x.
  5. Identify Graph with Given Parameters: Identify the graph that shows a line with a slope of 12\frac{1}{2} and a yy-intercept of 00. The correct graph will be a straight line that passes through the origin (0,0)(0, 0) and rises 11 unit for every 22 units it moves to the right.

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