Question

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: What is the slope of the line?
Part B: What is the y-intercept?
Part C: Write the equation of the line in slope-intercept form.

Answer 1

The slope of the line is 3; the y-intercept is 9; and the equation of the line in slope-intercept form is y = 3x + 9.

Step-by-step explanation:

To answer the question regarding the slope, y-intercept, and the equation of the line, we must analyze Figure A1 and apply our understanding of the algebra of straight lines.

Part A: The slope of the line is the ratio of the rise over the run. In Figure A1, the slope is given as 3, indicating that there is a rise of 3 units on the vertical axis (y-axis) for every 1 unit increase on the horizontal axis (x-axis).

Part B: The y-intercept is the point where the line intersects the y-axis. According to Figure A1, the y-intercept is 9.

Part C: The equation of the line in slope-intercept form can be written as y = mx + b, where m stands for the slope and b is the y-intercept. From the information provided, we know that m = 3 and b = 9, so the equation of the line is y = 3x + 9.