What is the point of intersection, P(x, y) of the following lines: 5x + 2y = 4 and -2x + y = 11. x = 2 and y = 7 O x = 2 and y = 6 O x = -2 and y = 6 x = 3 and y = - 6 none of the above

Q: For what values of the constants k and c does the line x- 3 ** =- lie in the plane x - y + 2z = c? O…

A: Given equation of   line  ;   x-32=y-2k=z+14plane;  x-y+2z=c key points 1)  given line lies in the…

Q: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

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…

A:

Q: Which of the following is the line that passes through (7,7) and is parallel to -4x-9y=-37…

A: The slopes of parallel lines are equal. We first write the given equation of line in slope intercept…

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: b) Check whether the following two lines are intersecting or notif so find point of intersection.…

A:

Q: Find an equation for the collection of points for which the distance to (3, 0) is twice the distance…

A: Calculation of required Parameters.

Q: The lines y = 2x - 1 and y = ax + 2 are perpendicular ifa = _______.

A:

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: Which of the following is the point of intersection between the lines  3x + y = 10 and x + y = 4

A:

Q: In the equation of the line                      ⟨x, y, z⟩ = ⟨x0, y0, z0⟩ + t⟨x1 - x0, y1 - y0, z1 -…

A: The given equation for the line is,

Q: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

A:

Q: Find the value of p if the  straght lines x+p=0 y+2=0 3x+2y+5=0 are concurrent

A:

Q: Which of the following is the point of intersection between the lines 3x + y = 10 and x - y = 2 а.…

A: Given:   3x + y = 10    x - y = 2

Q: If the symmetric partner of the point K(-2,3) about the line 3x-4y + 3 = 0 is L, find [KL|. A) 5 B)…

A:

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

A:

Q: Find the point of intersection of the following lines, if it exists.

A: Given: The lines, xyz=123+s1-12 and xyz=5-2-4+t-111. The given lines can be represented in…

Q: Show that the lines of equations x=−1+t , y=−2+t, z=3t for t∈R and x=5+s, y=−8+2s, z=7s for ?∈ℝ are…

A:

Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4x - 2y- 5 = 0 4x -3y +9 = 0 O A.…

A:

Q: The points P(k, 2k), Q(p, t) and R(12p, 5t) are on a straight line. If Q divides PR in the ratio of…

A:

Q: Whether the lines 3x+2y=6 and 2x-3y=6 are parallel or perpendicular

A:

Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

A:

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

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: the tip being the point (3, 0, -5) E R' is awayfrom the line spannedby w= -2 3.2 1.2 as in this…

A: Given v=30-5, w=30-2

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: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

A:

Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4х - 2у — 5 %3D0 4x — Зу +9%3D 0…

A:

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: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

A:

Q: Find a perpendicular line that passes through the given point (6, 4); y = 3x- 2 %3D O y= 1/3 x-6 O y…

A:

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: 5. Find the point of intersection of the following lines x = 4t +2, y = 3, z = -t +2 b. x = 2s +6, y…

A: Given query is to find the point of intersection of line a and line b.

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: Given the line 4x - 3y 10, find the equation of the line perpendicular %3D and passes through the…

A: Given : 4x - 3y =10 rewrite -3y = -4x +10 y=43x -10

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: Given that the line kx − y = 4 is perpendicular to the line kx + 9y = 11, find the value of k

A: Given query is to find the value of k.

Q: Find k so that the line through (3, 2) and (k, 3) is a. parallel to 25x + 17y = 34, b. perpendicular…

A: We will be using the following concepts: Parallel lines have the same slope. The product of slope…

Q: snip

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

Q: Which of the following points does NOT lie on the line x + 3y = 10? %3D O (-4, 14/3) O (-2, 4) O (2,…

A:

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

A:

Q: What is the point of intersection, P(x, y) of the following lines: x + 2y = 4 and 2x - y = -7.

A:

Q: Which of the following lines passing through the point ( 2,1) ? • a. y=2x+1 • b. y+2x=4 ● c. 2y+x=4…

A: Substitute x=2 , y=1 in each of the equations and compare the left hand side and the right hand side…

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 +…

A:

Q: is this true or false......When lines  m  and  n  intersect at point  P  , it follows that   m ∩ n…

A: This is true: in Euclidean geometry/plane. if two lines m,n intersect at a point P ,then m…

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

A:

Q: 28. Why do the lines L: 5x + 2y - 3 = 0 and L2:-10x- 4y + 6 = 0 coincide?

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Given that the equation of a line segment from ( x1, Y1 , Z1) to ( X2 , Y2 , Z2) is x = x1+ t(x2-x1)…

A:

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.