📐
INTERACTIVE — BUILD AN EQUATION
distance
=
×
+
=
Slope (m)
4
Y-Intercept (b)
5
Input (x)
3
Output (y)
17
LINEAR EQUATION
📖
LEARN — CLICK THROUGH THE STEPS
y = mx + b
One equation. Infinite predictions.
An equation is a prediction machine. Plug in a number, get a result.
Steep
m = 8
vs
Gentle
m = 2
m = how fast things change (the slope). Higher m = steeper line.
Same slope
m = 4
but
Start at 0
b = 0
vs
Start at 15
b = 15
b = where you start (y-intercept). Same slope, different b = parallel lines shifted up or down.
Speed
5
×
Time
3
+
Start
10
=
Distance
25
x = the input. Plug it in, get y. Here: 5 × 3 + 10 = 25.
distance = speed × time + head_start
Your bot's position at any moment in a match.
In Velocity Arena: distance = speed × time + head_start. The equation predicts where your bot will be.
LINEAR EQUATION
Change m or b and the whole line moves.
Change m or b — the whole line moves. Try it in the interactive above!
🎯
TRY IT — YOUR TURN
Speed (m)
6
×
Time (x)
5
+
Head Start (b)
4
Formula:
distance = 6 × 5 + 4
Your bot has Speed = 6, Head Start = 4. At time = 5, what is the distance?