(1) Define points Q(0, -29) and T(-76,53), and a straight line L, : 7.0 - 24y - 71 = 0. Let P, R, S be points and L2, L3, L, be straight lines with following properties.
• L2 is perpendicular to L, and passes through Q.
L3 is parallel to L, and passes through Q.
• LA is perpendicular to L, and passes through T.
• P is the intersection between Li and L2.
• R is the intersection between Lz and L.
• S is the intersection between L, and LA.
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(a) Find the equations of L2, L3, LA
(b) Find the locations of P, R, S
(c) Find |PQ| by using the distance between P and Q
(d) Find |RS| by using the distance between R and L
(e) Find |QR| and |SP| by using the distance between L2 and LA
(1) Plot everything on the plane (no need to put x-axis or y-axis)