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Solve Linear Equations and Analyze Linear Functions 2 Name: 1) Solve: 2(3 x 1) 4 x x 1 2) Solve: 3 1 x5 4 4 3) Solve: 1 2x x3 4 5 5 4) I decide to walk home from school. School is 5 miles from home and I walk at an average rate of 4 miles per hour. This linear equation models this: M ( h) 5 4h , where M is my distance in miles from home and h is the number of hours I’ve walked. a) What does M (0) equal and what does it mean in the context of this story? 1 2 b) What does M ( ) equal and what does it means in the context of this story? c) If you were to graph this equation, it would be a line. What is the slope of this line and what does it mean in the context of this story? d) What is the y-intercept of this line and what does it mean in the context of this story?