Question
The equation that matches the table is,
- y = 3x + 9
- y = x + 9
- y = x + 3
- y = 12x – 3
Hint:
An equation represents the relationship between 2 coordinates viz. x & y.
To find the equation that matches the coordinates given in the table, we use 2 point formula of a line i.e.-
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
The correct answer is: y = 3x + 9
GIVEN-
x1 = 0, y1 = 9, x2 = 1, y2 = 12, x3 = 2, y3 = 15, x4 = 3, y4 = 18, x5 = 4, y5 = 21
TO FIND-
Equation that matches the given coordinates
SOLUTION-
we observe that (0,9) and (1,12) are 2 points on the given line.
Hence, we use 2 point formula of a line to find its equation.
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
∴ (y-9)/ (x-0) = (12-9)/ (1-0)
∴ (y-9)/ (x-0) = 3/1
∴ 1 (y-9) = 3 (x-0) ...................... (Cross multiplying)
∴ 1 (y-9) = 3 (x)
∴ y - 9 = 3x
∴ y = 3x + 9 ....................... (Adding both sides with 9)
FINAL ANSWER-
Option 'a' i.e. 'y = 3x + 9' is the correct answer to the given question.
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