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4.6 Slope-Intercept Form Exploration

Slope intercept Form.

Type in the given equations in slope intercept form( y = mx + b ). What do you notice? We know slope is the rise over run. We know the y-intercept is where the line crosses the y-axis. Do you see the slope in the equation? Do you see the y intercept? Which is m? Which is b? What happens when you have 2 equations that have the same slope but different y intercepts? What happens when you have 2 equations and their slopes are opposite signs and reciprocals of each other? Examples y = 4x + 6 and y =- .25x + 6 How can we use the graph to create and equation? How can we used the equation to create a graph?