Mathematics
Grade-8
Easy
Question
Identify the equation which matches the following graph
![](data:image/png;base64,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)
- Y = 2x – 1
- X2 + y2 = 1
- Y = –2x – 1
- Y = x2 - 1
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 = –2x – 1
GIVEN-
The given line passes through the points (-1,1) & (0,-1) as shown in the given graph.
TO FIND-
Equation of the given line.
SOLUTION-
From the given graph, we observe that-
(-1,1) & (0,-1) are 2 points on the line.
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 both the points in the given options to find the correct equation, for which LHS = RHS.
a. y = 2x - 1
We substitute (-1,1) in the given equation-
y = 2x - 1
∴ 1 = 2 (-1) - 1
∴ 1 = -2 - 1
∴ 1 ≠ -3
∴ LHS ≠ RHS
Since (-1,1) does not satisfy the given equation, y = 2x - 1 is not the equation of the given line.
b. x2 + y2 = 1
We substitute (-1,1) in the given equation-
x2 + y2 = 1
∴ (-1)2 + (1)2 = 1
∴ 1 + 1 = 1
∴ 2 ≠ 1
∴ LHS ≠ RHS
Since, (-1,1) does not satisfy the given equation, x2 + y2 = 1 is not the equation of the given line.
c. y = -2x - 1
We substitute (-1,1) in the given equation-
y = -2x - 1
∴ 1 = -2 (-1) - 1
∴ 1 = 2 - 1
∴ 1 = 1
∴ LHS = RHS
We substitute (0,-1) in the given equation-
y = -2x - 1
∴ -1 = -2 (0) - 1
∴ -1 = 0 - 1
∴ -1 = -1
∴ LHS = RHS
Since both (-1,1) and (0,-1) satisfy the given equation, y = -2 x - 1 is the equation of the given line.
FINAl ANSWER-
Option 'c' i.e. 'y = -2x - 1' 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 = -1, y1 = 1, x2 = 0 & y2 = -1
∴ (y-y1) = (y2-y1) * (x-x1)
(x2-x1)
∴ (y - 1) = (-1 - 1) * [x - (-1)]
[0 - (-1)]
∴ (y - 1) = -2 * (x + 1)
0 + 1
∴ (y - 1) = -2/1 * (x + 1)
∴ y - 1 = -2x - 2
∴ y = -2x - 2 + 1
∴ y = -2x - 1
Final Answer remains the same.