CSI 235 1. Find the equation of the line going through points (1,1) and (-1,4). What is its slope? 2. Find the equation of the line passing through the origin and parallel to the line y = 3x - 2 3. What is the shortest distance between the point (1,1) and the line 3x - y = 4. (hint: Find the equation of the line perpendicular to this line that goes through (1,1) and then solve the two equations for the intersection and then find distance) 4. Find the equation of the line perpendicular to 2y = x - 1 that passes through (2,2) What is the line's y intercept? 5. Given two parallel lines: y=2x+2 and y=2x-3 a. Find a line perpendicular to the first line. b. Find point(s) of intersection of the line from a with the two lines? c. What is the distance between the points from b? d. What does this distance represent for the two original lines? 6. Find the verticies of the given parabolas, determine if the parabola opens up, down to the rigth or left. a. y=x^2-6x+2 b. y=3+12x-3x^2 c. x=2y^2-8y 7. Sketch the parabola from 6a by plotting the vertex and at least two other points. 8. Determine the zeros for the given parabolas using the quadratic equation. a. y=3x^2- 10x + 3 b. y=x^2 + 2 9. Find the center of the following circles as well as the radius by completing the square. a. x^2 + 4x + y^2 - 8y = 0 b. x^2 - 6x + y^2 + 12y = 19