A coordinate grid is mapped onto a video game screen, with the origin at the lower-left corner. The game designer programs a turtle to move along a linear path that passes through the points (0, 0) and (10, 8). The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

What is the slope of the line that represents the turtle's path?
0.8

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?
h = 0

k = 20

a = -0.12

Which system of equations could you use to determine where the paths intersect?

y = 0 and y = -0.12(x - 20)2
⇒y = 0.8x and y = -0.12x2 + 20
y = 0.8x and y = -0.12(x - 20)2
y = 0.8x + 8 and y = -0.12x2 + 20