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Linear functions SAT question

Math · Algebra · Medium · Answer it here, explanation included.

For the given function , the graph of in the xy-plane is parallel to line . What is the slope of line ?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is . It’s given that function is defined by . Therefore, the equation representing the graph of in the xy-plane is , and the graph is a line. For a linear equation in the form , represents the slope of the line. Since the value of in the equation is , the slope of the line defined by function is . It's given that line is parallel to the line defined by function . The slopes of parallel lines are equal. Therefore, the slope of line is also .

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