1. Which of the following coordinate points lies on the graph of the linear equation: x + y = 2?
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Correct answer is option - 4
Explanation:
To check which point lies on the graph of the given linear equation, we should plug-in the given coordinate points in the place of ‘x’ and ‘y’ of the given equation.
When we take (1, 1) as (x, y) and plug-in the place of ‘x’ and ‘y’ we get: 1 + 1 which is equal to ‘2’.
Since it satisfies the equation, hence (1, 1) lies on its graph.
2. Which of the following coordinate points lies on the graph of the linear equation: x + y = 7?
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Correct answer is option - 3
Explanation:
When we take (3, 4) as (x, y) and plug-in the place of ‘x’ and ‘y’ in the given linear equation, we get: 3 + 4 which is equal to ‘7’.
Since it satisfies the equation, hence (3, 4) lies on its graph.
3. Which of the following coordinate points lies on the graph of the linear equation: 2x + y = 6?
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Correct answer is option - 2
Explanation:
When we take (1, 4) as (x, y) and plug-in the place of ‘x’ and ‘y’ in the given linear equation, we get: 2(1) + 4 which is equal to 2 + 4 = 6.
Since it satisfies the equation, hence (1, 4) lies on its graph.
4. Which of the following coordinate points lies on the graph of the linear equation: x – y = 3?
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Correct answer is option - 3
Explanation:
When we take (6, 3) as (x, y) and plug-in the place of ‘x’ and ‘y’ in the given linear equation, we get: 6 – 3 which is equal to 3.
Since it satisfies the equation, hence (6, 3) lies on its graph.
5. The slope of the linear equation, y = 2x + 3 is?
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Correct answer is option - 1
Explanation:
The slope-intercept form of a linear equation is y = mx + b where ‘m’ is the slope of the line.
Hence in the given equation, y = 2x + 3 we can clearly see that the slope, m = 2.
6. What is the slope of the linear equation, y = -x + 5?
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Correct answer is option - 2
Explanation:
The slope-intercept form of a linear equation is y = mx + b where ‘m’ is the slope of the line. Hence in the given equation, y = -x + 5 we can clearly see that the slope, m = -1.
7. What is the slope of the linear equation 3x – y = 0?
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Correct answer is option - 4
Explanation:
The slope-intercept form of a linear equation is y = mx + b where ‘m’ is the slope of the line.
The given linear equation can be rearranged as: 3x = y which implies y = 3x.
Hence in the given equation, y = 3x we can clearly see that the slope, m = 3.