f x = 2 x + 3 For the given function f , the graph of y = f x

Question

f x = 2 x + 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 ?

Accepted Answer

The correct answer is 2 . It&rsquo;s given that function f is defined by f x = 2 x + 3 . Therefore, the equation representing the graph of y = f x in the xy -plane is y = 2 x + 3 , and the graph is a line. For a linear equation in the form y = m x + b , m represents the slope of the line. Since the value of m in the equation y = 2 x + 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 .

Question f-x-2-