Acoordinate 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?

Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...

Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.

To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:

x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"

To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:

y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"

Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).

Therefore, the,

slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25