Question
Identify the equation that represents the line containing points M and N?
![](data:image/png;base64,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)
- y = –4x – 3
![y equals 1 fourth x minus 3](data:image/png;base64,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)
![y equals negative 1 fourth x minus 3](data:image/png;base64,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)
- y = 4x – 3
Hint:
1. An equation refers to the relationship between 2 expressions represented with an equal to sign i.e. '='.
2. A point is said to be on a given line when the coordinates of that point when substituted in the given equation, satisfies the given equation.
The correct answer is: ![y equals 1 fourth x minus 3](data:image/png;base64,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)
GIVEN-
The given line passes through the points M & N as shown in the given graph.
TO FIND-
Equation of the given line.
SOLUTION-
From the given graph, we observe that-
M (0,-3) & N (8,-5)
We know that when a line passes through a given point, the coordinates of that point satisfies the equation of the said line.
Hence, we substitute the coordiantes of M & N in the given options to find the correct equation, for which LHS = RHS.
a. y = 4x - 3
We substitute M (0,-3) in the given equation-
y = 4x - 3
∴ -3 = 4(0) - 3
∴ -3 = 0 - 3
∴ -3 = -3
∴ LHS = RHS
We substitute N (8,-5) in the given equation-
y = 4x - 3
∴ -5 = 4(8) - 3
∴ -5 = 32 - 3
∴ -5 ≠ 29
∴ LHS ≠ RHS
Since, N (8,-5) does not satisfy the given equation, y = 4x - 3 is not the equation of the given line.
b. y = 1/4 x - 3
We substitute M (0,-3) in the given equation-
y = 1/4 x - 3
∴ -3 = 1/4 (0) - 3
∴ -3 = 0 - 3
∴ -3 = -3
∴ LHS = RHS
We substitute N (8,-5) in the given equation-
y = 1/4 x - 3
∴ -5 = 1/4 (8) - 3
∴ -5 = 2 - 3
∴ -5 ≠ -1
∴ LHS ≠ RHS
Since, N (8,-5) does not satisfy the given equation, y = 1/4 x - 3 is not the equation of the given line.
c. y = - 1/4 x - 3
We substitute M (0,-3) in the given equation-
y = -1/4 x - 3
∴ -3 = -1/4 (0) - 3
∴ -3 = 0 - 3
∴ -3 = -3
∴ LHS = RHS
We substitute N (8,-5) in the given equation-
y = 1/4 x - 3
∴ -5 = -1/4 (8) - 3
∴ -5 = -2 - 3
∴ -5 = -5
∴ LHS = RHS
Since both M (0,-3) and N (8,-5) satisfy the given equation, y = -1/4 x - 3 is the equation of the given line.
Final Answer:-
Option 'c' i.e. 'y = -1/4 x - 3' is the correct answer to the given question.
Alternatively, we can use the 2 point formula to find the equation of the given line-
When we have 2 points that lie on a given line then we can find the equation of the said line by using the 2-point formula-
(y-y1) = (y2-y1) * (x-x1)
(x2-x1)
In the given question, x1 = 0, y1 = -3, x2 = 8 & y2 = -5
∴ (y-y1) = (y2-y1) * (x-x1)
(x2-x1)
∴ [y- (-3)] = [-5 - (-3)] * (x - 0)
(8-0)
∴ (y + 3) = (-5 + 3) * x
8
∴ 8 * (y + 3) = (-5 + 3) * x ................................... (Multiplying both sides by 8)
∴ 8y + 24 = -2x
∴ 8y = -2x - 24 ....................................... (Isolating y in LHS)
∴ y = -2/8 x - 24/8 .................................... (Dividing both sides by 8)
∴ y = -1/4 x - 3
Final Answer remains the same.