# Second Year Math Introduction to Analytic Geometry

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

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

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

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

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

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