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Published byLorraine James Modified over 7 years ago

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Complete the tables x5x – 2 -7 -4 0 0 18 -52 xx 2 - 2 -4 0 8 2 -3 9

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1. 2. 3. 4.

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5. 6. 7. 8.

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9. x – int: (2, 0) y – int: (0, -3) slope: 3/2 y = 3/2x – 3 10. x – int: (1, 0) y – int: (0, 3) slope: -3 y = -3x + 3 11. x – int: (10, 0) y – int: (0, -2) slope: 1/5 y = 1/5x – 2 12. x – int: (5, 0) y – int: slope: x = 5

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Need help? Look in your book in 2.1 Practice Worksheet

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Completing Tables Working Without Graphs Two Variable Word Problems

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To determine the following using algebraic methods: ◦ Equation of a line ◦ Slope of a line ◦ x- and y-intercepts

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Point-Slope FormSlope-Intercept Form y – y 1 = m(x - x 1 ) y – 13 = -2(x + 4) y – 13 = -2x – 8 y = -2x + 5 y = mx + b 13 = -2(-4) + b 13 = 8 + b 5 = b y = -2x + 5 m = -2, passing through (-4, 13)

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Point – Slope FormSlope – Intercept Form y – y 1 = m(x - x 1 ) y + 2 = 0(x - 7) y + 2 = 0 y = -2 y = mx + b -2 = 0(7) + b -2 = 0 + b -2 = b y = -2 Horizontal line passing through (7, -2)

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Point – Slope FormSlope-Intercept Form y – y 1 = m(x - x 1 ) y - 2 = ½(x - 6) y - 2 = ½x - 3 y = ½x - 1 y = mx + b 2 = ½(6) + b 2 = 3 + b -1 = b y = ½x - 1 Slope: passing through (6, 2) & (10, 4)

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Parallel LinesPerpendicular Lines Graph SlopesSame y - interceptDifferent Same (intersect on y – axis) or Different

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1. Use first line to determine slope 2. Use point-slope form or slope-intercept form to find equation Parallel lines have same slope, so m = 4 y + 25 = 4(x + 5) y + 25 = 4x + 20 y = 4x – 5 -25 = 4(-5) + b -25 = -20 + b -5 = b y = 4x - 5 Parallel to y = 4x + 12 & passing through (-5, -25)

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1. Use first line to determine slope 2. Use point-slope form or slope-intercept form to find equation Perp. lines have same slope that are opposite reciprocals, so m = -¼ y - 5 = -¼ (x -12) y - 5 = - ¼x + 3 y = - ¼x +8 5 = - ¼(12) + b 5 = -3 + b 8 = b y = - ¼x +8 Perpendicular to y = 4x + 12 & passing through (12, 5)

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Slope: ◦ Rearrange the equation into slope-intercept form ◦ Answer: 2 Y – intercept: ◦ Use slope-intercept form ◦ Or, make x = 0 and solve ◦ Answer: (0, -2) X – intercept: ◦ Make y = 0 and solve ◦ Answer: (1, 0)

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Slope: ◦ Rearrange the equation into slope-intercept form ◦ Answer: 5/2 Y – intercept: ◦ Use slope-intercept form ◦ Or, make x = 0 and solve ◦ Answer: (0, -10) X – intercept: ◦ Make y = 0 and solve ◦ Answer: (-2, 0)

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Find the equation of a line without a graph? Find the slope and intercepts of a line without a graph?

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