The end points of a given line are (0,0) and (6,18). Compute each value of y…
2015
The end points of a given line are (0,0) and (6,18). Compute each value of y as x steps from 0 to 3, by using equation of straight line:
- A.
For 𝑥 = 0,𝑦 = 0;𝑥 = 1,𝑦 = 3;𝑥 = 2,𝑦 = 6;𝑥 = 3,𝑦 = 9
- B.
For 𝑥 = 0,𝑦 = 1;𝑥 = 1,𝑦 = 3;𝑥 = 2,𝑦 = 4;𝑥 = 3,𝑦 = 9
- C.
For 𝑥 = 0,𝑦 = 2;𝑥 = 1,𝑦 = 3;𝑥 = 2,𝑦 = 6;𝑥 = 3,𝑦 = 9
- D.
For 𝑥 = 0,𝑦 = 0;𝑥 = 1,𝑦 = 3;𝑥 = 2,𝑦 = 4;𝑥 = 3,𝑦 = 6
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Correct answer: A
Solution: Find the equation of the line through the points (0,0) and (6,18).
Compute the slope m = (18 − 0) / (6 − 0) = 18 / 6 = 3.
Because the line passes through the origin (0,0), the equation is y = 3x.
x = 0 ⇒ y = 3 × 0 = 0
x = 1 ⇒ y = 3 × 1 = 3
x = 2 ⇒ y = 3 × 2 = 6
x = 3 ⇒ y = 3 × 3 = 9
Therefore the y values for x = 0, 1, 2, 3 are 0, 3, 6, 9 respectively.