Question

select the correct answer.

a bottlenose dolphin is 10 feet below sea level. then it begins to dive at a rate of 9 feet per second. what is the equation of the line that represents its elevation, \\(y\\), after \\(x\\) seconds?

\\(y = 9x - 10\\)
\\(y = -9x - 10\\)
\\(y = 9x + 10\\)
\\(y = -9x + 10\\)

Explanation:

Identify the initial value (y-intercept)

$$ b = -10 $$

Identify the rate of change (slope)

$$ m = -9 $$

Write the linear equation in slope-intercept form

$$ y = -9x - 10 $$

Answer:

• \(y = 9x - 10\)
• \(y = -9x - 10\) (Correct answer)
• \(y = 9x + 10\)
• \(y = -9x + 10\)