Which of the following describes the graphical representation of the equation y

₹0.0

Question: Which of the following describes the graphical representation of the equation y = 3x + 1? (2023)

Options:

Correct Answer: A line with a slope of 3.

Exam Year: 2023

Solution:

The equation is in slope-intercept form, where the slope is 3, indicating the line rises steeply.

Which of the following describes the graphical representation of the equation y = 3x + 1? (2023)

Which of the following describes the graphical representation of the equation y = 3x + 1? (2023)

Step 1: Identify the equation given, which is y = 3x + 1.
Step 2: Recognize that this equation is in slope-intercept form, which is y = mx + b.
Step 3: In the equation, 'm' represents the slope and 'b' represents the y-intercept.
Step 4: Here, the slope (m) is 3, which means for every 1 unit you move to the right on the x-axis, the line goes up 3 units on the y-axis.
Step 5: The y-intercept (b) is 1, meaning the line crosses the y-axis at the point (0, 1).
Step 6: Since the slope is positive (3), the line will rise steeply as you move from left to right.

No concepts available.