Question

question 3 1 point a penguin dives into the sea from its starting position, (0, 2), with respect to the water level. its trajectory follows a path 12 units down and 4 units to the right. what is the slope - intercept form of the equation of the line modeling this path? fill each blank with an integer (simplify all fractions). y = \square x + \square

Explanation:

Step1: Calculate slope of the line

Slope $m = \frac{\text{change in } y}{\text{change in } x} = \frac{-12}{4} = -3$

Step2: Identify y-intercept

The starting point $(0,2)$ gives $b=2$

Step3: Write slope-intercept form

Substitute $m=-3$ and $b=2$ into $y=mx+b$, so $y = -3x + 2$

Answer:

$y = -3x + 2$