Emek and Tara prepared a cargo mission between two space stations by modeling possible flight paths on a coordinate grid. Each proposed route was represented by a linear equation. They determined the slope of each line to compare the direction of travel and identified the y-intercept to see where the route entered the monitored orbital region. After checking which equation matched the required launch point and destination, they selected the correct trajectory. Their accurate analysis guided the cargo ship safely through orbit, and the supplies arrived at the station without delay.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Compare the equation with the form y = mx + b.
One proposed orbital route is represented by y = 3x - 4. What are the slope and y-intercept of this route?
Slope 3 and y-intercept -4Slope -4 and y-intercept 3Slope -3 and y-intercept 4Slope 4 and y-intercept -3
Correct! The coefficient of x is 3, and the constant term is -4.
Try again. In y = mx + b, m is the slope and b is the y-intercept.
Next
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Hint
Use slope = change in y divided by change in x.
The cargo ship must follow a line through the launch point (1, 2) and the destination (5, 10). What is the slope of this route?
Correct! The slope of the route is 2.
Try again. Subtract the y-coordinates and divide by the difference of the x-coordinates.
Next
🎉 Congrats! You got this question!
Hint
First use the launch point to identify the y-intercept, then find the slope between the two points.
The required route must pass through the launch point (0, 3) and the destination (4, 11). Which equation represents the correct trajectory?
y = 2x - 3y = 3x + 2y = 2x + 3y = 4x + 3
Correct! The route has slope 2 and y-intercept 3, so its equation is y = 2x + 3.
Try again. Check both the y-intercept and whether the equation passes through (4, 11).
Next
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🎉 Congrats! You finished this challenge set!
Yörüngesel İkmal Rotası
TR
ARC_G09_PA_01_STORY_01
Yörüngesel İkmal Rotası
Orbital Supply Route
EN
ARC_G09_PA_01_STORY_01
Orbital Supply Route