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a) A line `L_1` passes through point (3,3) and (5,7).Find the equation of `L_1` in the form of y=mx+c, where m and c are constants
b) Another line `L_2` is perpendicular to `L_1` and passes through (-2,3).Find i) The equation of `L_2`
ii) The x-intercept of `L_2`