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Question 8 • Test

Which graph can be used to find the solution(s) to 4 x is equal to negative 4 x ?

Answer

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (1 comma 4) and (negative 1 comma negative 4). The other line goes through (1 comma negative 4) and (negative 1 comma 4).

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (4 comma 0) and (0 comma negative 4). The other line goes through (0 comma 4) and (negative 4 comma 0).

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (4 comma 0) and (2 comma 2). The other line goes through (negative 4 comma 0) and (negative 2 comma 2).

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. There are two lines and both the lines are parallel to x-axis. One passes through (0 comma negative 4) and the other line goes through (0 comma 4).

Explanation

Rewrite the equation as comparing the two expressions y = 4x and y = -4x. The graph must show a line with slope 4 and a line with slope -4; choice A has these lines, passing through (1, 4) and (1, -4), respectively. They intersect at (0, 0), which gives the solution x = 0.

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