Question

elijah started hiking at an elevation of -12 feet below sea level. he hiked up at a rate of 9 feet per minute. this graph represents the relationship between the number of minutes and his elevation. use the slope and vertical intercept to write an equation. what is the vertical intercept of the graph? slope = 9 vertical intercept =

Explanation:

Step1: Understand vertical intercept

The vertical intercept (y - intercept) of a graph is the value of \( y \) when \( x = 0 \). In the context of Elijah's hiking, \( x \) represents the number of minutes, and \( y \) represents the elevation.

Step2: Analyze the starting point

Elijah started hiking at an elevation of - 12 feet below sea level. When \( x = 0 \) (at the start, 0 minutes of hiking), his elevation \( y=- 12 \). Also, from the graph, when \( x = 0 \), the point on the y - axis is at \( y=-12 \). So the vertical intercept is the value of \( y \) when \( x = 0 \), which is - 12.

Answer:

-12