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Exploring Straight Lines in Algebra: Gradients and Equations

This topic delves into understanding straight lines based on gradients and equations in algebra. Explore drawing different lines, determining equations, and solving parallel line scenarios. Enhance your knowledge of straight lines!

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Exploring Straight Lines in Algebra: Gradients and Equations

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  1. Teacher's Notes Topic: Alg - y=mx+c Straight lines The graph shows a straight line with gradient 1 (a) On the graph, draw a different straight line with gradient 1 L7 Draw a different straight line ... and another, and another ... Find an unusual one (eg it crosses the y-axis at 3.7, or it has a gradient of 1 but on this diagram it doesn't cross either axis). (b) The equation of another straight line is y = 5x + 20 The straight line y = 5x + 20 passes through ( 0, ____ ) What other lines pass through (0,20) ? (c) A straight line is parallel to the line with equation y = 5x + 20 It passes through the point ( 0, 10 ) What is the equation of this straight line? What other questions can you ask/answer?

  2. Straight lines The graph shows a straight line with gradient 1 (a) On the graph, draw a different straight line with gradient 1

  3. (b) The equation of another straight line is y = 5x + 20 The straight line y = 5x + 20 passes through ( 0, ____ )

  4. (c) A straight line is parallel to the line with equation y = 5x + 20 It passes through the point ( 0, 10 ) What is the equation of this straight line?

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