Which shows a graph of a linear equation in standard form cap A x plus cap b y is equal to cap c , where cap A is equal to 0 , cap b is positive, and cap c is negative?
Answer
A
Image with description A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
B
Image with description A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
C
Image with description A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
D
Image with description A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
Explanation
With A = 0, the equation Ax + by = c becomes by = c, so y = c/b. Since c is negative and b is positive, c/b is negative, meaning the graph is a horizontal line below the x-axis. Choice C shows the horizontal line y = -3.
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