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.