Graphs of straight lines
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This document discusses how to graph straight lines from tables of values and find equations of lines from their graphs. It provides examples of graphing the line y = 2x - 5 by plotting the points from its table of values on a coordinate plane and drawing the line through them. Exercises are included to graph additional lines from their equations in various forms and determine the equations of lines from their graphs. The concept of gradient and y-intercept is introduced for lines written in the form y = mx + b.
Graphs of straight lines
- 1. Graphs of Straight Lines How to graph equations and find equations from graphs.
- 2. Tables of Values • A table of values is used to generate points. • These points can be plotted on the coordinate plane. • A straight line drawn through these points creates the graph of the equation.
- 3. Example Graph y = 2x – 5 x 1 2 3 4 5 y -3 -1 1 3 5
- 4. Plot these points on the coordinate plane. x 1 2 3 4 5 y -3 -1 1 3 5
- 5. Draw a straight line through the points
- 6. Exercises Graph the following straight lines: 1. y = 3x – 4 2. y = 2x + 1 3. y = x – 5 4. y = -3x +2 5. 3 2 += x y Look for a relationship between the graphs and their algebraic expressions!!!
- 7. The Gradient-Intercept Form of a Straight Line When a linear function is written in the form y = mx + b the m is its gradient and the b is its y-intercept.
- 8. What’s the Equation? For the following graphs, determine their equation.
- 14. This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com Is home to well over a thousand powerpoints submitted by teachers. This a free site. Please visit and I hope it will help in your teaching