### Learning Math and Coding with Robots

 Grid: Tics Lines: Width px Hash Lines: Width px Labels: Font px Trace Lines: Robot 1: Width px Robot 2: Width px Robot 3: Width px Robot 4: Width px
 Axes: x-axis y-axis Show Grid Grid: 24x24 inches 36x36 inches 72x72 inches 96x96 inches 192x192 inches Quad: 4 quadrants 1 quadrant Hardware Units: US Customary Metric
 Background:

#### Robot 1

 Initial Position: ( in, in) Initial Angle: deg Current Position: (-5 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 2

 Initial Position: ( in, in) Initial Angle: deg Current Position: (6 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 3

 Initial Position: ( in, in) Initial Angle: deg Current Position: (12 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 4

 Initial Position: ( in, in) Initial Angle: deg Current Position: (18 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

Find the Proportionality Constant of a Linear Equation
Problem Statement:
In this activity you will determine the proportionality constant of a linear equation. The board blocks will display two points on the grid. Change the values of 0 in the blocks to graph the line through these points. Then run the program to see if your graph is correct and answer the question. Use the graph to determine the proportionality constant for the proportional relationship between x and y.
```/* Code generated by RoboBlockly v2.0 */
double y;
double x;
double variable;
double radius = 1.75;
double trackwidth = 3.69;

// Sample answer for points (0, 0) and (6, 6):
y = 1 * x;
// The slope of the line is 1:
robot.traceOff();
robot.drivexyTo(-5, 1 * -5, radius, trackwidth);
robot.traceOn();
for(x = -5; x <= 10; x++) {
y = 1 * x;
robot.traceColor("#00FFFF", 4);
robot.drivexyTo(x, y, radius, trackwidth);
}
printf("For the graph of the line through the two points shown, what is the constant of proportionality for the proportional relationship between y and x? (Round to three decimal places)"+"\n");
scanf("%lf", &variable);
```
 Blocks Save Blocks Load Blocks Show Ch Save Ch Workspace
Problem Statement:
In this activity you will determine the proportionality constant of a linear equation. The board blocks will display two points on the grid. Change the values of 0 in the blocks to graph the line through these points. Then run the program to see if your graph is correct and answer the question. Use the graph to determine the proportionality constant for the proportional relationship between x and y.

Time