Question #3ce92ce8 - SAT Suite Question Bank

ID: 3ce92ce8

Modded SAT Question Bank by Abdullah Mallik

$f (x) = 2 x + 3$

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 $j$ ?

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Correct Answer: 2

Rationale

The correct answer is $2$ . It’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 Difficulty: Medium