Plot a rover.
Reveal the rule.
Nova starts 1 km from base and travels 2 km farther each hour. Turn its signals into points, connect the line, and discover why the route is y = 2x + 1.
Nova is already 1 km from base when tracking begins. It travels 2 km farther each hour. Plot five signals, connect the route, then read one back.
y = 2x + 12 km each hour+1 km at the startx is time in hours. y is Nova’s distance from base in kilometers.
What if Nova moves differently?
Change the rate or starting distance. The line, points, and explanation update together.
Use y = mx + b. Try decimals and negative slopes too.
y = 2x + 1 has slope 2 and crosses the y-axis at 1.
Move over the blue line, tap it, or focus it and use ← → to inspect nearby coordinates.
When equations became pictures.
In the 1630s, René Descartes and Pierre de Fermat developed methods that connected algebra with geometric curves. Descartes published La Géométrie in 1637.
You just used that bridge: y = 2x + 1 is both a rule for Nova’s trip and a visible route on the coordinate plane.
y = 2x + 1one rule