Check the alternative that contains the points of intersection of the line r below with the coordinate planes: r:{y=2x+6 z=4x+4 Choose the correct alternative a. (0,6,4) and (−6,0,−10) and (1,4,0) b. (0,6,2) and (6,0,−12) and (12,16,0) c. (0,−6,2) and (−3,0,−10) and (−4,5,0 d. (0,6,4) and (−3,0,−8) and (−1,4,0) e. (0,6,4) and (3,0,8) and (−1/2,5,0)

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

A: To find the x and y-intercepts of the given line.

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: x - 4y 10. dA, where R is the parallelogram enclosed by the lines x – 4y = 0, x - 3x - y

A: Given, the integral                   ∫∫R10x-4y3x-ydA Where R is a parallelogram enclosed by the…

Q: Determine whether the lines r1(t) = 〈0, 1, 1〉+ t〈1, 1, 2〉 and r2(s) = 〈2, 0, 3〉+ s〈1, 4,…

A: line1:xyzt1+t1+2t and line2:xyz2+s4s3+4sto find the point of intersection we need to equate both the…

Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

A:

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

A:

Q: Find the x- and y- intercepts (a,b) of the line L: x - 2y = -4 O a = 2, b = 4 %3D O a = -4, b = -2 O…

A:

Q: 3-Find the coordinates of the point on the line y= 3x+i. that is equidistance from (0,0) and (-3,4)…

A:

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = (…

A: To find the intercept x,y,z

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: The line (x-22-3, y = 2z) intersects the plane (x+3y-2+4= 0) at the point P, Find: a) the…

A:

Q: Let us have the line whose equation is L: x+ 2 = y +3 = -2 (1) Find the points of intersection of…

A: Given equation is: x + 2 = y + 3 = -2 Then the equation of the line is: x - y = 3 - 2 x - y = 1…

Q: Find the point (if it exists) at which the following plane and line intersect. -2x-10y-10z = -19 and…

A:

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A:

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: If point x,y on the line and it is corner of the rectangle. Then, area of rectangle=xy But we have…

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: The lines y = ax + b and y = bx + a are graphed in the xy-plane. If a and b are non-zero constants…

A:

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: Given equation:x=y2-7For x-interceptors, y=0so, x=-7For y-interceptors, x=0y2-7=0y2=7∴y=±7

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y…

A: As per guidelines we are allowed to solve one question at a time. Kindly repost the rest question…

Q: Find the point of intersection (xp. yo. zo) of the lines given as: L1: x = 6+ t, y = 4 + 5t, z = 4…

A:

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

A:

Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A:

Q: Find the point ( x, y) such that (1, 3) is the midpoint of the line segment connecting а. (х, у) and…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: Determine if the line intersects the plane. If so, state the solution. [x, y, z][-1, -9,16]++[3, 3,…

A:

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: We have to find any intercepts and test for symmetry with respect to both axes and the origin. (If…

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

A:

Q: Determine where the line y=6x +3 cuts y-axis A (-1,0) (-2,0) (+1,0) (-3,0) В (0,0) (0,–1) (0, +1) C…

A:

Q: (a) x = 2+ (y – 2)², x = 3; about the x – axis. (b) y = Vx, = 2y; about the line x = 5.

A:

Q: Let us have the straight line whose equation is L: +2 = y-3 = z+2 (1) Find the points of…

A:

Q: 9. L:x=4t+2, y= 3, z=-t+1 and L:x=2s+2, y=2s +3,z=s+1 x-8 y+5 L: 4 x+4 and L: -8 Z+9 y-1 z+18 10. =.…

A:

Q: Determine the intercepts of each plane. a) [x, y, z] = [1, 8, 6] + s[1, –12, –12] + t[2, 4, -3]

A: As per policy, only the first question is answered as you have asked multiple questions asked in a…

Q: Find the point of intersection of the lines of equations x = - 2y = 3z and x = - 5 - t, y = - 1 + t,…

A:

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

A:

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: Given: The coordinates of all points x,y that lie on the line whose equation is 2x+y=8, so that the…

Q: Determine the points of intersection of the given line and the three coordinate planes. x =1+2,y…

A:

Q: II. Fill in the missing entry in each row: Equation of line m Point P Point (P) X = 0 (x,y) 1.) Y =…

A: II) 1, Given line equation, X=0 Image of P(x,y) w.r.t line X=0 : line equation ⊥to X=0: Y=C Let…

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = ( %3D…

A:

Q: Find the points in which the line x = 1 + 2t, y = -1 - t, z = 3t meets the coordinate planes.…

A: Given: x = 1+2t, y= -1-t, z = 3t To find: The points in which the line x = 1 + 2t, y = -1 - t, z =…

Q: Determine the points of intersection of the given line and the three coordinate planes. x =4-2, y…

A:

Q: Let us have the line whose equation is 3 L: x-= y-5 =+ 2 1 Find the points of intersection of the…

A: given line is                                                              L: x-32=y-5=z7+2

Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7-2t y=t z = 9+t

A:

Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6 + 4t, y = 8 -…

A: