Question

amani started hiking at an elevation of 6 feet above sea level. she hiked up at a constant rate. this graph represents the relationship between the number of minutes and her elevation. use the slope and vertical intercept to write an equation. slope = 2 vertical intercept = 6

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.

Step2: Map variables to given values

Here, elevation ($e$) is the dependent variable, number of minutes ($x$) is the independent variable, slope (increase in elevation per minute) = 2, vertical intercept (starting elevation) = 6.

Step3: Substitute into the equation

Replace $y$ with elevation, $m$ with increase in elevation per minute, $x$ with number of minutes, and $b$ with starting elevation.

Answer:

$\text{elevation} = \text{starting elevation} + \text{increase in elevation per minute} \cdot \text{number of minutes}$
Or in algebraic form:
$e = 6 + 2x$