FORM205 NAME( )
THE GRAPH OF LINEAR EQUATION
*ANSWER THE FOLLOWING QUESTIONS
1.WHEN A LINEAR EQUATION y=ax+1 PASSES THROUGH THE POINT WHICH IS X-AXIAL SYMMETRIC WITH THE POINT(4,1),FIND THE VALUE OF a.
2.FIND THE LINEAR EQUATION THAT PASSES THROUGH (2,-2) AND IS PARALLEL TO THE EQUATION 2x-2y=3.
3.FIND THE POINT OF THE INTERSECTION OF y=2x+1 AND y=-x.
4.FIND THE LINEAR EQUATION THAT PASSES THROUGH THE INTERSCTION POINT OF 2x+3y=16 AND 5x-4y=-29 ,AND IS PARALLEL TO 7x+8y=10.
THE LINE l PASSES THROUGH A AND B, . A(2,6) , B(5,0)
THE LINE m PASSES THROUGH A AND HAS GRADIENT OF 1/2.
FIND THE X-INTERCEPT OF m. 6.WHEN THE DOMAIN OF y=-2x+a IS -1 HE COORDINATE OF A,B,AND C ARE (12,0),(0,4),(6,4) RESPECTIVELY. P MOVES FROM THE ORIGIN TO THE POINT A WITH THE SPEED OF 2 cm/s. Q MOVES FROM B TO C,THEN FROM C TO B,AND FINALLY B TO C. P AND Q START AT THE SAME TIME(t=0).LET S BE THE AREA OF OPQB AFTER t SECONDS .
(1) FIND THE VALUE OF t WHEN P ARRIVES AT A.
(2)EXPRESS S IN TERMS OF t.FIND THE DOMAIN i.e. THE RANGE OF t. (A)WHEN Q MOVES FROM B TO C. (B)WHEN Q MOVES FROM C TO B. (C)THE FINAL MOTION FROM B TO C. (3)FIND THE COORDINATE OF P WHEN THE AREA OF OPQB TIMES 2 IS EQUAL TO THE AREA OF OACB.