Define the slope of a line given by the equation y = 2x + 3.

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

In the equation given, ( y = 2x + 3 ), the slope can be identified by looking at the coefficient of the variable ( x ). In the slope-intercept form of a linear equation, which is expressed as ( y = mx + b ), ( m ) represents the slope of the line and ( b ) represents the y-intercept.

In this case, ( m = 2 ) indicates that for every unit increase in ( x ), the value of ( y ) increases by 2 units. This positive slope signifies that the line rises as it moves from left to right on a graph.

Thus, the slope of the line described by the equation is indeed 2, confirming that the chosen answer is correct. Understanding the slope is crucial as it gives us insight into the rate of change between the two variables represented in the equation.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy