Question

1. the point on the graph that lies on the y - axis (vertical axis) is called the y - intercept. what does the y - intercept tell you about the runner?

1. in the gizmo, set the number of points to 3. then create a graph of a runner who starts at the 20 - yard line, runs to the 40 - yard line, and finishes at the 30 - yard line.

a. sketch your graph to the right.

b. what is the y - intercept of your graph?

Explanation:

Question 4

The y - intercept occurs where \( x = 0 \) (time = 0, at the start). For a runner's graph (likely with distance on y - axis and time on x - axis), the y - intercept shows the runner's starting position (distance from a reference point, like the starting line) at the beginning (when time is 0).

1. Identify Axes: Assume x - axis is time (with 3 time points, say \( t = 0,1,2 \)) and y - axis is distance (yard line).
2. Plot Points:

• At \( t = 0 \) (start), distance \( y = 20 \) (point: (0, 20)).
• At \( t = 1 \) (middle), distance \( y = 40 \) (point: (1, 40)).
• At \( t = 2 \) (end), distance \( y = 30 \) (point: (2, 30)).

1. Sketch the Graph: Draw a line segment from (0, 20) to (1, 40) (increasing), then from (1, 40) to (2, 30) (decreasing). The y - axis is vertical (distance) and x - axis is horizontal (time, labeled "Time (seconds)" or similar, with 0,1,2 as ticks). The y - axis has distance from 0 to 40, with 20, 30, 40 marked.

Step1: Recall y - intercept definition

The y - intercept is the value of \( y \) when \( x = 0 \) (time = 0, start of the run).

Step2: Determine the starting distance

The runner starts at the 20 - yard line, so at \( t = 0 \) (x = 0), the distance (y - value) is 20.

Answer:

The y - intercept tells you the runner's starting position (distance from a reference, e.g., the starting line) at the start of the run (when time \( t = 0 \)).

Question 5A