- f(x) = 2x +3 () For the given function f, the graph of y = f x in the xy -plane is parallel to line j. What is the slope of line j?
Correct answer: 2 (parsed from the explanation — this source omits an answer key for this item)
Explanation
( )= + The correct answer is 2. It’s given that function f is defined bfy x x2 3. = ( ) Therefore, the equation representing the graph of y f x 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.
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