Linear equation is an equation of the form Ax + By = C, where A ≠ 0 and B ≠ 0. The graph of a linear equation is a straight line.

The following are examples of linear equations.

5x + 7y = 1, - 13x + 6y = 0.5,

A. Graph 1

B. Graph 2

C. Graph 3

D. Graph 4

Correct Answer: B

Step 1: x + y = 4. [Given Equation.]

Step 2: (0) + x = 4 [To find x-intercept substitute y = 0.]

Step 3: x = 4 [Solve for x.]

Step 4: The x-intercept is 4. So, the line crosses the x-axis at the point (4, 0).

Step 5: y + (0) = 4 [To find y-intercept substitute x = 0.]

Step 6: y = 4 [Solve for y.]

Step 7: The y-intercept is 4. So, the line crosses the y-axis at the point (0, 4).

Step 8: Plot the points (4, 0) and (0, 4) and draw a line through them.

Step 9: Among the Graphs, Graph 2 represents the graph of the linear equation x + y = 4.

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