Which of the following statements is true regarding the graph of the equation y

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Question: Which of the following statements is true regarding the graph of the equation y = 2x + 1?

Options:

Correct Answer: It has a positive slope.

Solution:

The equation y = 2x + 1 has a positive slope of 2 and intersects the y-axis at 1.

Which of the following statements is true regarding the graph of the equation y = 2x + 1?

Which of the following statements is true regarding the graph of the equation y = 2x + 1?

Step 1: Identify the equation given, which is y = 2x + 1.
Step 2: Recognize that this equation is in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Step 3: Determine the slope (m) from the equation. Here, m = 2, which means the slope is positive.
Step 4: Identify the y-intercept (b) from the equation. Here, b = 1, which means the graph intersects the y-axis at the point (0, 1).
Step 5: Conclude that the graph of the equation y = 2x + 1 has a positive slope of 2 and intersects the y-axis at 1.

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