Regents Exam Questions by Topic Page 1 LINEAR EQUATIONS ...

Regents Exam Questions by Topic Page 1LINEAR EQUATIONS: Parallel and Perpendicular Lines-GEwww.jmap.orgNAME:_____________________________1. fall0828ge, P.I. G.G.62What is the slope of a line perpendicular tothe line whose equation is 5x3y 8?4. 080630a, P.I. G.G.63Which line is perpendicular to the line whoseequation is 5y6 3x?[A] 5 3[B] 5 3[C] 3 5[D] 3 5[A] y 355x7 [B] y x7353[C] y x7 [D] y x7352. 060926ge, P.I. G.G.63Which equation represents a lineperpendicular to the line whose equation is2x3y 12?[A] 2y3x 6 [B] 6y4x12[C] 3y2x 12 [D] 2y3x65. fall9925b, P.I. G.G.64Given two lines whose equations are3x y8 0 and 2xby 90,determine the value of b such that the twolines will be perpendicular.3. 060528a, P.I. G.G.63Which equation represents a line that isperpendicular to the line whose equation is2y 3x 7?[A] y [C] y 2332x3 [B] y x7x3 [D] 2y3x36. fall0812ge, P.I. G.G.65What is the equation of a line that passesthrough the point ( 3, 11 ) and is parallel tothe line whose equation is 2x y 4?[A] y 12[C] y x12252x252[B] y 2x5[D] y 2x5

Regents Exam Questions by Topic Page 2LINEAR EQUATIONS: Parallel and Perpendicular Lines-GEwww.jmap.orgNAME:_____________________________7. 060931ge, P.I. G.G.65Find an equation of the line passing throughthe point (5,4) and parallel to the line whoseequation is 2x y 3.8. 060907ge, P.I. G.G.64What is an equation of the line that passesthrough the point (-2,5) and is perpendicular1to the line whose equation is y x5?2[A] y 2x9 [B] y 2x9[C] y 2x1 [D] y 2x19. 010834a, P.I. G.G.64Write an equation of a line that is2perpendicular to the line y x5 and that3passes through the point (0,4).11. 060722a, P.I. G.G.63Which statement describes the lines whose1equations are y x12 and 6y2x 6?3[A] They are perpendicular to each other.[B] They are parallel to each other.[C] They intersect each other.[D] They are segments.12. fall0822ge, P.I. G.G.63The lines 3y16x 4 and 2y1 x9are[A] perpendicular [B] parallel[C] neither parallel nor perpendicular[D] the same line13. 060729aIf the product of x and 1 m is 1,m 0,thenx is equivalent to10. 080130a, P.I. G.G.63Shanaya graphed the line represented by theequation y x6. Write an equation for aline that is parallel to the given line. Write anequation for a line that is perpendicular to thegiven line. Write an equation for a line that isidentical to the given line but has differentcoefficients.[A] m[B] 1 m[C] 1 m[D] m

Regents Exam Questions by Topic Page 1LINEAR EQUATIONS: Parallel and Perpendicular Lines-GEwww.jmap.org[1] C[2] D[3] A[4] B[5][6] D[7][2] b = 6 by determining the slopes of bothlines, sets 2 negative reciprocal slope ofb 3 (i.e. 1 3 ).or [2] b = 6 by determining the product of theslopes = -1.[1] Sets 2 2 3 and solves for b b 3 .or [1] Finds slope of perpendicular as 1 3 , butdoes not solve b.or [1] b = 6 and no work shown.[0] Does not identify slopes.or [0] A zero response is completelyincorrect, irrelevant, or incoherent; or is acorrect response that was obtained by anobviously incorrect procedure.[2] y4 2( x5) or an equivalentequation, and appropriate work is shown.[1] Appropriate work is shown, but onecomputational error is made.or [1] Appropriate work is shown, but oneconceptual error is made, such as leaving theanswer as y 4x 2, which has a domain5 1restriction.or [1] y4 2( x5) or an equivalentequation, but no work is shown.[0] A zero response is completely incorrect,irrelevant, or incoherent or is a correctresponse that was obtained by an obviouslyincorrect procedure.[9][10][11] B[12] C[13] A[2] A correct equation is written, such as33y x4 or ( y4) ( x0).22[1] An appropriate equation is written, butone computational error is made or oneincorrect substitution is made.[1] An appropriate equation is written, butone conceptual error is made, such as writingan equation for a parallel line going through(0,4) or for a perpendicular line that does notgo through (0,4).or [1] The slope is identified correctly as 3 2or the y-intercept as 4, but no equation or anincorrect equation is written.[0] A zero response is completely incorrect,irrelevant, or incoherent or is a correctresponse that was obtained by an obviouslyincorrect procedure.[3] Three correct equations are shown, suchas y x7, y x6, and 2y2x 12.[2] Only two correct equations are shown.[1] Only one correct equation is shown.[0] A zero response is completely incorrect,irrelevant, or incoherent or is a correctresponse that was obtained by an obviouslyincorrect procedure.[8] C