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##### 2. The x y -coordinate axes are translated through the point whose coordinates are given in x y -coordinate system. The coordinates of P are given in the X Y -coordinate system. Find the coordinates of P in x y -coordinate system.(iv) P(4-3) ; 0^{\prime}(-23)

23. Find the distance between the given parallel lines. Sketch the lines. Also find an equation of the parallel line lying midway between them.(a) 3 x-4 y+3=0 ; 3 x-4 y+7=0

10. Find the angle measured from the line l_{1} to the line l_{2} where(a)$\begin{array}{l}l_{1}: \text { Joining }(27) \text { and }(710) \\l_{2}: \text { Joining }(11) \text { and }(-53)\end{array}$

3. By means of slopes show that the following points lie on the same line:(a) (-1-3) ;(15) ;(29)

14. Find the point three-fifth of the way along the line segment from A(-58) to B(53) .

10. Find the angle measured from the line l_{1} to the line l_{2} where(b) l_{1}: Joining (3-1) and (57) l_{2}: Joining (24) and (-82)

Example 5: Find an equation of the line through the point P(23) which forms an isosceles triangle with the coordinate axes in the first rant.