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Algebra / Linear functions Difficulty: Medium

fx=2x+3

For the given function f , the graph of y=fx in the xy-plane is parallel to line j . What is the slope of line j ?

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Explanation

The correct answer is 2 . It’s given that function f is defined by fx=2x+3. Therefore, the equation representing the graph of y=fx in the xy-plane is y=2x+3, and the graph is a line. For a linear equation in the form y=mx+b, m represents the slope of the line. Since the value of m in the equation y=2x+3 is 2 , the slope of the line defined by function f is 2 . It's given that line j is parallel to the line defined by function f . The slopes of parallel lines are equal. Therefore, the slope of line j is also 2 .