Straight Lines — Flashcards

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A line parallel to the x-axis has constant y-value. Since it passes through (2, 5), y = 5. Answer: y = 5…

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A line parallel to the y-axis has constant x-value. Since it passes through (-3, 4), x = -3. Answer: x = -3…

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Use slope-intercept form: y = mx + c Here, m = 3, c = -2 So, y = 3x - 2 Answer: y = 3x - 2…

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Step 1: Solve for y → 2y = -4x + 8 Step 2: Divide by 2 → y = -2x + 4 Compare with y = mx + c So, slope (m) = -2, y-intercept (c) = 4 Answer: y = -2x + 4; slope = -2, y-intercept = 4…

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Use point-slope form: y - y₁ = m(x - x₁) Here, (x₁, y₁) = (1, -2), m = 4 So, y - (-2) = 4(x - 1) → y + 2 = 4x - 4 → y = 4x - 6 Answer: y = 4x - 6…

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Step 1: Find slope m = (y₂ - y₁)/(x₂ - x₁) = (7 - 3)/(4 - 2) = 4/2 = 2 Step 2: Use point-slope form with (2, 3): y - 3 = 2(x - 2) → y - 3 = 2x - 4 → y = 2x - 1 Answer: y = 2x - 1…

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Use intercept form: x/a + y/b = 1 Here, a = 3, b = -4 So, x/3 + y/(-4) = 1 Multiply both sides by 12: 4x - 3y = 12 Answer: 4x - 3y = 12…

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For x-intercept, set y = 0 → 2x = 6 → x = 3 For y-intercept, set x = 0 → -3y = 6 → y = -2 Answer: x-intercept = 3, y-intercept = -2…