71773
AssignmentMultiple Choice

Standard Form of a Line

Question 71773 • CUSD Math 01 A (5.0)

The standard form of a linear equation is Ax + By = C. If B = 0 and A and C are positive, which best describes the graph of this equation?

Answer
A
The graph is a vertical line.
B
The graph is a horizontal line.
C
The graph is a line with a positive slope.
D
The graph is a line with a negative slope.

Explanation

With B = 0, the equation Ax + By = C becomes Ax = C. Since A is positive, divide both sides by A to get x = C/A, a fixed x-value. The graph of an equation with a fixed x-value is a vertical line, so the best description is “The graph is a vertical line.”

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