Question
Write the equation.
- y = 4x + 3
- y = 4x -3
- y = 3x + 4
- y = 8x + 2
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 = 4x + 3
GIVEN-
x1 = 0, y1 = 3, x2 = 2, y2 = 11, x3 = 4, y3 = 19, x4 = 6, y4 = 27, x5 = 8, y5 = 35
TO FIND-
Equation that matches the given coordinates
SOLUTION-
we observe that (0,3) and (2,11) 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-3)/ (x-0) = (11-3)/ (2-0)
∴ (y-3)/ x = 8/2
∴ (y-3)/ x = 4/1 ............................. (Dividing numerator and denominator by 2)
∴ 1 (y-3) = 4 x ...................... (Cross multiplying)
∴ y - 3 = 4x
∴ y = 4x + 3 ....................... (Adding both sides with 3)
FINAL ANSWER-
Option 'a' i.e. 'y = 4x + 3' is the correct answer to the given question.
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