Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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In a system of equations, if one equation is y = 2x + 3, what is the slope of the line?

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To determine the slope of the line given by the equation y = 2x + 3, we can refer to the general form of a linear equation, which is y = mx + b. In this format, 'm' represents the slope and 'b' represents the y-intercept.

In the provided equation, y = 2x + 3, we can see that the coefficient of x is 2. This means that the slope of the line is 2. The slope indicates that for each unit increase in x, the value of y increases by 2 units.

Understanding the concept of slope is vital in identifying how steep a line is and the direction it moves. A positive slope indicates that the line rises as you move from left to right. Thus, in this case, the slope of 2 confirms that the line has a relatively steep incline upwards.

This reinforces your answer that the slope of the line is indeed 2.

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