Question

8 A marine biologist is using an underwater drone to study a delicatecoral reef. The linear equation 20y – 30x = -900 gives the drone'selevation, y, in meters from the surface of the water after x seconds.Graph the equation. What are the slope and y-intercept of the line?What part of the graph represents this situation?

Answer 1

Draw the equation 20y - 30x = -900 on the graph.

Simplify the equation to obtain the slope and intercept.

$\begin{gathered} 20y-30x=-900 \\ 20y=30x-900 \\ y=\frac{30}{20}x-\frac{900}{20} \\ =\frac{3}{2}x-45 \end{gathered}$