1. Use the slope formula to answer Parts I, II, and III. Part I: Find the slope of the line that passes through the following points. (6 points; 2 points each) A (10, 4) and B (–2, –5) C (–7, 1) and D (7, 8) E and F Part II: Robert says that the slope of a line passing through (1, 7) and (3, 9) is equal to the ratio . Is this a correct method for calculating the slope? Explain your answer. (1 point) Part III: Do the points in the following set lie on the same line? Explain your answer. Show all work. (4 points) A (1, 3) B (4, 2) C (–2, 4) 2. Does the point (2, 3) lie on the graph of ? Explain. (2 points) 3. Using your knowledge of parallel lines, create equations of two lines that are parallel to . Part I: Graph the equation on the coordinate plane provided below. (1 point) Part II: Write two equations of lines in slope-intercept form that are parallel to the graph of the line in Part I. (2 points; 1 point per equation) y = _______________ y = _______________ Part III: Explain why the equations of the lines in Part I and Part II are parallel. (1 point) 4. Write an equation in point-slope form. Part I: Create an equation of a line in point-slope form. Be sure to identify all parts of the equation before writing the equation. (3 points) Part II: Using the equation of the line you wrote in Part I, write an equation of a line that is perpendicular to this line. Show your work. (3 points) 5. Write equations in slope-intercept form for three different lines that intersect at (–2, 3). Show your work. (3 points; 1 point each) 6. A line passes through the points (6, 5) and (3, 1). Use your knowledge of slope and different forms of equations to answer the following questions. Part I: What is the slope of the line passing through the points (6, 5) and (3, 1)? Show your work. (2 points) Part II: Write two point-slope equations for the line passing through the points (6, 5) and (3, 1). Show your work. (4 points: 2 poin