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Math 1010-2 Final Practice 4: Graphs 1. Solve the following inequality and then graph your solution on the real number line: 2x + 1 < 3x + 2 2. Find the distance between the point (−1, 2) and the origin. 3. Find the midpoint between the point (−1, 2) and the origin. 4. Find an equation of the line that passes through (1, 1) and has slope −1, rewrite your equation in the slope-intercept form. 5. Find an equation of the line that is parallel to the line y = 3x + 1 and whose x-intercept is 2, rewrite your equation in the slope-intercept form. 6. Find an equation of the line passing through the points (1, 2) and (−1, 1), rewrite your equation in the slope-intercept form. 7. Sketch the graph of the following equation on a rectangular coordinate system: x−y =1 . 8. Suppose the graph of y = x2 is shifted 2 units to the right then 1 unit downwards. Find an equation of the new graph. 9. Sketch the graph of the following equation on a rectangular coordinate system: y = x2 + 2x − 3