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##### 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.

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)

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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.