1. Determine whether the pair of lines is parallel, perpendicular, or neither: (a) 2x + y = 7      2x + y = 8 (b) 2x + y = 9      4x + 2y = 7 (c) 3x - 4y = -3      3x + 4y = 4 (d) y = 3x - 5      3y = 9 - x (e) y = 4 - x      y = x + 4

Q: What is the relationship between the lines L1 and L2? where L7:x = 1+t , y = 3, z = 1- 3t L2:x = 4 –…

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Q: Find an equation for the line perpendicular to the line −3x−3y=−4−3x−3y=−4 having the same…

A: It is known that, let m1 and m2 be the slope of the perpendicular lines then m1×m2 = –1.

Q: 6. Find the intersection point of these two lines: x+y=1 and 6x+5y=15

A: Find the intersection point x+y=1   - - - - - - (i)  6x+5y=15   - - - - - - (ii) From the question…

Q: Use the given conditions to write an equation for the line in point-slop Passing through (3, 2) and…

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Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: (1) What is the relationship between the lines L1 and L2? where ) L1:x = 1-t, y = 4 +t, z = 2+3t…

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Q: What are the x and y-intercepts of the line described by the equation? −6x+3y=18.9−6x+3y=18.9…

A: Given: The equation of the line is: -6x+3y=18.9 Write the equation of the line in slope-intercept…

Q: Prove that the equation 2x2+xy-6y2+7y-2=0 represents a pair of straight lines

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Q: 3) Determine the point of intersection between Line L: ( (x+1)/6)= ( (3-y)/-1)= ((z-4)/-2) and i…

A: Given, Equation of line is x+16=3-y-1=z-4-2.Equation of plane is x+2y-z+29=0. The intersection point…

Q: What is the relationship between the lines L1 and L2 where L1:x = 1 + 7t , y = 3+t, z = 5 – 3t L2:x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of line whose x - intercept is 2 and y - intercept is 3. O 3x + 2y = 6 O 2x + 3y -…

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Q: 44. Select the pair of lines that are parallel. O 5x – 2y = -1 y = 4x – 1 4x – 6y = 6 2x – 3y = -6 -…

A: two parallel lines is of the form  ax+by=c and ax+by=d where a,b,c,d are constants

Q: 17. Is the line x = 21 - 1, y = -3t, t e R perpendicular to the line shown below? y 4. 3 2 + -5 -4…

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Q: Suppose we have four equations of lines as follows:A) y = -x + 1 (ie., y = -1x + 1 is a line with…

A: A)  Graph for y = -x + 1 is shown below

Q: 5) Determine the point of intersection between two lines L1:( (x-1)/1 ) = (y/-5) = ((z-5)/3) L2:…

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Q: 3. Find the intersection point of the two lines, L1: r = 4-t, y = 1+ 2t, z = -2+t L2 : x = 3+s, y =…

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Q: Are the lines x-2y=4 an y=2x-2 parallel, perpendicular, or neither ?

A: Here we are to show that the lines x=2y=4an Y=2x-2 parallel , perpendiciular or neither .

Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: What is the equation of the line that passes through (4, 0) and is parallel to the line x- y = 2? O…

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Q: in m imz1 = 7x and mz2 = 5x + 30, lines m and n are parallel when x equals %3D А. 12.5 15 C. 87.5 D.…

A: Since m and n are parallel lines therefore, ∠1=∠2       alternates angles

Q: Find the intersection(s) of two lines A and B. Line A is x−2y=1,and line B is 2x+y=2.

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Q: What is an equation of the line perpendicular to y = -3x + 3 that contains (7,4)? O Answer: y (1/3)x…

A: SOLUTION: y = -3x + 3

Q: ons 5y−5x=305y−5x=30 and y=−x+3y=

A: we have to tell whether the lines represented by the equations are intersecting , parallel, or…

Q: Prove that the equation 2x²-3xy-2y²-x+3y-1=0 represents a pair of perpendicular lines

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Q: What is the relationship between the lines L1 and L2? where L:x = 1- 2t, y = 3+ 3t, z = 5+3t L2:x =…

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Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Which of the following pairs of lines are per- pendicular? (a) x = 2 + 2t y = −3 − 3t z = 4 + 4t and…

A: a). x=2+2t,  y=-3-3t,  z=4+4t&x=2+t,  y=4-t,  z=5-t Now the dot product of the direction ratios…

Q: Find the equation of line whosex- intercept is 2 and y- intercept is 3. O 3x + 2y + 6 =0 O 2x + 3y-…

A: The line has x-intercept is 2 and y-intercept is 3.

Q: Given these two lines:  y= 7/5 x - 4 y= 6/5 x - 3 where do the two linew intersect? *your answer…

A: Given: y=75x-4  ...1y=65x-3  ...2

Q: The lines y = 2x + 3 and y = ax + 5 are parallel if a = _______ .

A: Given lines, y=2x+3 y=ax+5

Q: What is the relationship between the lines L1 and L2? where L1:x = 1-t, y = 1+ 2t, z = 2-t L2:x =…

A: The given lines are:L1: x=1-t ; y=1+2t ; z=2-tL2: x=1+t ; y=1-t ; z=2-3t

Q: ermine whether or not the two lines are parallel, perpendicular or neither 3x+1 10) y 5x-3 10x- 2y 7…

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Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

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Q: 18. Given the line 5y-4x-6 0, which of the following lines is perpendicular to it? a) 5x + 4y = 0 b)…

A: Given information:The given equation of line is 5y-4x-6=0Procedure Used:Step 1: Write the given…

Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: 5. Determine if there are any two lines that are perpendicular, or not. L1: y+ 2x=7 L2: 4x-y=3 L3:…

A: Solution:

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A: Given :          The lines y = 2x - 1 and y = ax + 2 are perpendicular .   To find the value of a.

Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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Q: what is the general form of the equation for a line whose x-intercept is 6 and y-intercept is -1 a.…

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Q: What is the relationship between the lines L1 and L2? where L:x =1+4t, y = 3-t, z = 1+t L2:x = -3t ,…

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Q: 5. Find the equation of the line throug the line 2x + y = 12. %3D A. x + 3y -12 = 0 C. x - 3y -12 =…

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Q: Which of the following lines is perpendicular to y= -5x-2? O y = 1/5x + 1/5 O y = 5x - 1 O y = -5x +…

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Q: -) Determine the intersection of the lines: L,: 5 ==4 and L2: x=y -1 = z

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Q: Which of the following lines is perpendicular to y=-5x-2 A. y=1/5x+1/5 B. y=5x-1  C. y=-5x+5 D,…

A: Given y=-5x-2

Q: Suppose that the two lines ay= x-y and 2/ax+3y=1 are parallel. What must be the value for a?

A: First of all, consider general equation for the straight line. Also consider the given equations.