10 points Find the equation of the line passing through...

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MA 114 - 003 Midterm Exam 1 Form A There are two sides to this exam. Please read each problem carefully. Label problem numbers clearly in your blue book, and start each problem on a new page (you may use the back sides of each page). Notice that several problems have multiple parts, and the point values are shown for each problem. 1. ( 10 points ) Find the equation of the line passing through the points (5 , - 3) and ( - 1 , 3) . Put the equation in standard form ( y = mx + b ). 2. (a) ( 10 points ) Graph the following system of linear inequalities (i.e., graph the feasible set). Label any x- and y- intercepts on your graph. ( y 1 2 x - 1 x 0 (b) ( 3 points ) Is the point (6 , 3) in the feasible set of this system of inequalities? (You must show your work to get full credit). 3. ( 10 points ) Solve the following system of equations using the Gauss-Jordan Method. ( x + 9 y = 8 2 x + 8 y = 6 4. (a) ( 3 points ) For each of the following completed Gauss-Jordan Forms, state whether the system has one solution, no solution, or infinitely many solutions. x y z x y z x y z I. 1 0 4 - 1 0 1 6 2 0 0 0 0

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