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

Q: 5- Find the Line that passes through the point (l,2) and througgh the point of inter Section of the…

A: In this question given that point (1,2). And two lines x +2y = 3 and 2x -3y = -1. And we find that…

Q: Find an equation of the the line satisfying the given conditions. Through (-5, 12); perpendicular to…

A: Given that, Points are : (-5, 12) Equation fo line, - 2x + 5y = 50…

Q: 5. Find the equation of the line perpendicular to 3x - 2y = 5 that goes through the point (3, -4). O…

A: Please refer the attached image for complete solution.

Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

Q: 5. What is the equation of the line joining the points (-8, 0) and (-1, 3)? Oy=7/3 x+ 56/3 Oy=7/3 x-…

A:

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: Find the intersection point of the line l.x=-1. y = - 3 + t z = 4 + 2t with xx - 1 .

A: In xz plane value of y = 0.

Q: 1. a) m and passes through the point (-3, 10) b) passes through points A(12, -1) and B(0, 4) c)…

A: We know the slope intercept form of line is : y=mx+b , where m is slope and b is constant. (a) Given…

Q: 1. Write the line parallel to y = -2x + 5 that passes through the point (1,1). a. y = -2x + 1 b. y…

A: Question 1 - The equation of line is given as - y = -2x + 5 Comparing the above line with the…

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

A:

Q: 8) Find the distance from the point S(0,0,0) to the line through(-1,-1,2) parallel tov = 31 + k.

A: The given point S(0, 0, 0) The given line passes (-1, - 1, 2) parallel to v = 3i + k

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

Q: 33. The equation of the line containing the points (3, 4) and (4, 8) is 1 x + 7 4 A. y B. y = -4x +…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the shortest distance between the skewed lines. l1: = 1+ 2t, y = -1+t, z = 2+ 4t and l2: x= -2+…

A:

Q: 2*Find an equation of the line that satisfies the given conditions. Through  (−5, 5);…

A:

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

A:

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: 3 5. Write the equation of the line perpendicular to y =x 1 that contains the point (3, –1).

A:

Q: 4) the line parallel to 4x + 2y = -20 and passing through (10, 10) %3D

A: The general form of line equation is ax+by+c=0, where a,b,c are constants. The slope intercept form…

Q: The equation of the line segment from A(3, – 4,4) to B(5,2,5), 0<t<1 is a. r= (3+ 2t)i +(- 4+6t)j+(4…

A: Topic = vector  correct option 'a'

Q: 1. Find the point on the line y = x nearest to the point (4, 1).

A: Since, we have been asked to solve part(i) which aims to findthe point on the line y=x nearest to…

Q: Please help!

A: Let the slope of required line is m and slope of line joining (-1,-2) and (5,3) is m1 which can be…

Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: 17. What is the equation of the line that passes through (-5, 0) and (4, 3)? 5. y--5 Oy 3x+15…

A:

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

A:

Q: 6. What is the equation of the line joining the points (3, 4) and (-2, 5)? Oa. 2x + 3y = 0 Ob.…

A: Topic = Coordinate geometry Correct option = b

Q: 7. Find the equation of the line through (3,2) that is perpendicular to the line through (-3,1) and…

A:

Q: 14. What is the equation of the line perpendicular to =(x – 6) and passes through the point (-3,2)?…

A:

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

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: 8. Find a line uniquely parallel to the line 3x-4y+12=0.

A:

Q: (1) ( ) Find the shortest distance between two lines given x +2 -8 y = and y 2

A:

Q: 2. Find the equation of the line that is parallel to the intersection of planes 12, 2x-8y + z = 0…

A:

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

A:

Q: 3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх —…

A: Given a point(1,-1). We need to find the equation of  a line passing through the given point.

Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

A:

Q: 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y =…

A:

Q: 2.) Find an equation of the line that is parallel to the line r(t) = and that passes through the…

A: To find an equation of the line that is parallel to the below line and passes through the point (1,…

Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).

A: we have to evaluate

Q: What is the symmetric equation of the line through the points (2,1,1) and (5,-1,2). O a.…

A:

Q: The line that passes through the point 11, 12 and is parallel tothe line 2x  5y  10

A: First we find the slope of the line 2x-5y =10 by replacing into slope intercept form :…

Q: 7 Find the equation of a line parallel to: a the line y = -- x +5 and passing 4 through (0,0) b the…

A:

Q: 2) 3 Consider the line y = -x + 5. Write the equation of the line perpendicular to the given line…

A: Now comparing this line with y = mx+c, we get

Q: 14. Find the equation for the line that passes through the point (4, 1) and is perpendicular to the…

A: As we know that the equation of the line slope intercept form is: y=mx+c Where 'm' is the slope and…

Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…