Graphical Solution

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Step 1: Rearrange the equation: y = -3x + 4. Step 2: Take x = 1, then y = -3(1) + 4 = 1. Step 3: Take x = -1, then y = -3(-1) + 4 = 7. Step 4: Take x = 0, then y = -3(0) + 4 = 4. Step 5: Plot (1, 1), …

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Step 1: Use the plotted line through (-2, -3), (0, 1), and (1, 3). Step 2: At x = 2, the graph gives y = 5, so a = 5. Step 3: At y = -7, the graph gives x = -4, so b = -4. Answer: a = 5 and b = -4.

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Step 1: Assume the relation is y = mx + c. Step 2: Use point (0, 1): 1 = m(0) + c, so c = 1. Step 3: Use point (-2, -3): -3 = m(-2) + 1. Step 4: -4 = -2m, so m = 2. Step 5: Write the relation: y = 2x …

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A straight line is fixed by two points. Three points are often used as a check to reduce plotting mistakes and confirm that the points lie on the same line. Example: For 3x + y - 4 = 0, the points (1,…

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Step 1: Draw both equations on the same graph paper. Step 2: Find the point where the two lines intersect. Step 3: The intersection point is (-2, -5). Answer: x = -2 and y = -5.

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Step 1: Draw the graph of each equation on the same graph paper. Step 2: Find the point where the two lines meet. Step 3: The coordinates of that point give the solution. Example: For two lines that m…

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Step 1: Rearrange: x = (3y - 12) / 2. Step 2: Substitute y = -2: x = (3(-2) - 12) / 2 = (-6 - 12) / 2 = -18 / 2 = -9. Step 3: The point is (-9, -2). Answer: m = -9.

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Step 1: Use the equation 2x - 3y + 12 = 0. Step 2: Substitute x = 3: 2(3) - 3y + 12 = 0. Step 3: 6 - 3y + 12 = 0. Step 4: 18 - 3y = 0, so 3y = 18. Step 5: y = 6. Answer: n = 6.