Question

emilio started hiking at an elevation of -6 feet below sea level. he hiked up at a rate of 3 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. youre trying to represent this graph using an equation. to find the elevation, you can start with the initial value, or the starting elevation. show that in the equation now. slope = 3 vertical intercept = -6 elevation = + ?

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope, and $b$ is the vertical intercept. Here, $y$ represents elevation, $x$ represents minutes.

Step2: Substitute given values

Substitute slope $m=3$ and vertical intercept $b=-6$ into the formula.
$y = 3x + (-6)$ or simplified as $y = 3x - 6$.
For the given blank (showing the initial value first), the vertical intercept is the starting elevation.

Answer:

$\boldsymbol{-6}$
The full equation is $\boldsymbol{y = 3x - 6}$ (where $y$ = elevation, $x$ = minutes)