N/A — Exam

Question 49 • Algebra II

Which graph represents the same relation as the rule y is equal to 2 x , for all real numbers x ?

Answer

Image with description On a coordinate plane, with x-axis from negative 5 to 5, y-axis from negative 5 to 5 , a horizontal line intercepts the y-axis at (0 comma 2).

Image with description On a coordinate plane with x-axis from negative 5 to 5,y-axis from negative 5 to 5 , a straight line with positive slope intercepts the axes at (0 comma 0). The line goes through points (negative 2 comma negative 4) and (2 comma 4).

Image with description A coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5 , has 5 points. The points are (negative 2 comma negative 4) comma (negative 1 comma negative 2), (0 comma 0), (1 comma 2), (2 comma 4).

Image with description On a coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5, 11 points form a vertical line that has the x-intercept at (2 comma 0).

Explanation

The rule y = 2x describes a line through the origin with slope 2: for each increase of 1 in x, y increases by 2. Choice B shows a straight line through (0, 0), (−2, −4), and (2, 4), all of which satisfy the rule. Choice C shows some points on the same relation, but not the full graph for all real values of x.

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