Chapter 4: Linear relationships Notes

Sections

1. 4A Graphing straight lines Mastered

   Sketching lines using the x- and y-intercepts, lines through the origin, and horizontal and vertical lines.

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2. 4B Gradient and y = mx + c Mastered

   Gradient from rise over run and from two points, gradient-intercept form, rearranging equations into y = mx + c and sketching using the gradient and y-intercept.

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3. 4C Finding the equation of a line Mastered

   Finding the equation of a line from the gradient and a point, from two points, and from a graph, using y = mx + c or y − y₁ = m(x − x₁).

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4. 4D Midpoint and distance Mastered

   Finding the midpoint of an interval, the length of an interval using the distance formula, and finding an endpoint from a midpoint.

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5. 4E Parallel and perpendicular lines Mastered

   Parallel lines have equal gradients, perpendicular gradients multiply to −1, and finding equations of parallel and perpendicular lines through a point.

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