Graphing Linear Equations in Slope-Intercept Form.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Graphing Linear Equations in Slope-Intercept Form

Key Idea: Intercepts: The x-intercept of a line is the x- coordinate of the point where the line crosses the x-axis. It occurs when y = 0. The y-intercept of a line is the y- coordinate of the point where the line crosses the y-axis. It occurs when x = 0.

Example #1 Find the intercepts of the line Y = −4x – 2

Key Idea: Slope-Intercept Form y = mx + b m represents the slope and b represents the y-intercept

Example #2 Graph y = -3x +3 x y

Example #3 Graph 4y + 8 = 2x x y

Example #4 The cost y (in dollars) of taking a taxi x miles is y = 2.5x + 2. a.Graph the equation b.Interpret the y- intercept and the slope Distance in miles Cost of taxi ride in dollars