Understanding Graphs of Straight Lines and Equations
Learn how to graph equations and find equations from graphs of straight lines. Explore tables of values, plotting points on a coordinate plane, drawing lines through points, and identifying relationships between graphs and algebraic expressions. Discover the gradient-intercept form of a straight line and practice determining equations from given graphs. This resource provides exercises and explanations to enhance your understanding.
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Presentation Transcript
Graphs of Straight Lines How to graph equations and find equations from graphs.
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.
Example Graph y = 2x 5 x 1 2 3 4 5 y 3 -3 -1 1 5
Plot these points on the coordinate plane. x 1 2 3 4 5 y -3 -1 1 3 5
Exercises Graph the following straight lines: 1. y = 3x 4 Look for a relationship between the graphs and their algebraic expressions!!! 2. y = 2x + 1 3. y = x 5 4. y = -3x +2 5. =x 2+ 3 y
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.
Whats the Equation? For the following graphs, determine their equation.
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