Find an equation of the line determined by the points P(1, 2, 3), Q(2,0, 1)

Q: I need help with this question.

A: To find slope of the given line, we express it in a standard form, y = mx + c, we get:

Q: . Find the distance of point C(0,-1,2) from the line passing through points A(-2,2,4) and B(1,2,3).

A: Here we will find out the required value of distance.

Q: Find the equation of a line parallel to x=−5 that contains the point (3,−2).

A:

Q: Find the equation of the line passes through the points (2,-1, 3) and (1, 4, -3).

A: Here given point Find the direction vector as

Q: Find an equation of the line passing through the point (−1, 6) and parallel to the line joining the…

A: To Find an equation of the line passing through the point (−1, 6) and parallel to the line joining…

Q: What is an equation of the line that passes through the point (2, 2) and is parallel to the line x –…

A: Explanation of the answer is as follows

Q: Find an equation of the line containing the points (1, 4) and (3, 8).

A: Points (1,4),(3,8)

Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

A:

Q: Find an equation of the line passing through the pair of points (−9, −3), (−3, −5). Sketch the line.

A: Given Pair of points; -9,-3, -3,-5

Q: Find a point on the line 3x − y = 4 that is closest to the point (–2, 3)

A:

Q: Find an equation of the horizontal line containing the point (3, 2).

A: Our Aim is to write an equation of the horizontal line containing the point (3,2).

Q: Find an equation of the line that satisfies the given conditions. Through (3, 9); parallel to the…

A:

Q: Find an equation of the line containing the given pair of points.   ​( −5​,−2​) and ​(−9​,−3​)

A: Given points are

Q: Find an equation for the line with the given properties.Perpendicular to the line x = 3; containing…

A: We have to find the equation

Q: Find the slope-intercept form for the line satisfying the conditions. Passing through (- 3, – 25)…

A: Equation of line in slope intercept form is given by: y = mx+b

Q: Find the equation of the line containing the points (−4, −3) and (−2, 9).

A: Given points are (-4, -3) and (-2, 9).

Q: Find an equation of the line passing through the points.(0, 0), (3, 4)

A: (0, 0), (3, 4) We need to find the equation of the line passing through these two points.

Q: What is he symmetric equation of the line that passes through the points (3, 0, 11) and (2, 6, 7)?

A:

Q: Find the distance from the point (-2,2,-1) to the line a(t) = (- 2, 3, 2)t + (8, 0, - 7).

A:

Q: Find an equation of the line passing through the pair of points (−8, 0.6), (2, −2.4). Sketch the…

A: Given points: -8, 0.6 and 2, -2.4    ……1

Q: Find an equation of the line containing the points( 1,4) and( 3,8 )

A: To find the equation of the line containing the points (1,4) and (3,8). Solution: Equation of line…

Q: | xyz2 ds, C is the line segment from (-1, 5, 0) to (1, 6, 5)

A:

Q: Find an equation of the line containing the given pair of points. ​(4​,5​)and(12​,8​) Y=

A: On solving this we will get

Q: Find an equation of the line passing through the pair of points (−7, 2), (−7, 5) .Sketch the line.

A: The equation of a line passing through the points x1,y1 & x2, y2 is given by:…

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

A:

Q: Find an equation of the line passing through the pair of points (5, −1), (−5, 5) .Sketch the line.

A: Given: 5, -1, -5, 5

Q: Find an equation of the line passing through the given points. (1, 1), (8, - 2) y=--

A: The line passing through the points (1,1) , 8,-34

Q: What is the general equation of a line given the points P-(1,3) and Q=(4,7)?

A:

Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

A:

Q: Find an equation of the line that satisfies the given conditions. Through (-4, 3); perpendicular to…

A:

Q: What is an equation of the line that passes through the point (4, –3) and is perpendicular to the…

A:

Q: that

A:

Q: Find an equation for the line containing the points (4, 5, 3) and (2, - 3, – 1).

A: The given points are 4,5,3 and 2,-3,-1. The equation of line is calculated by r→=a→1+ta→2-a→1.

Q: Find thw equation of the line joining the points (5,9) and (-4,-6)

A:

Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

Q: Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to the…

A: To Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to…

Q: Find an equation of the line that passes through the point (1, −3) and is perpendicular to the line…

A:

Q: What is an equation of the line that passes through the point (2, –3) and is perpendicular to the…

A:

Q: What is an equation of the line that passes through the points (3,3)and (6,−1)?

A: In general to solve a problem of this type you can use the point-slope form of a line:…

Q: Find the equation of the straight line that best fits the data of the four points (0,1), (1,3),…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (우시) Find an equation of the line such that the points 7.4 and ,3 are on the line.

A:

Q: 3) Find the equation of the line containing the points (7, 2) and (4, 4).

A:

Q: What is an equation of the line that passes through the point (1, – 7) and is parallel to the line…

A: Equation of line parallel to the given line can be taken as 3x+y=k

Q: Find the equation of the line passing through the points (2,4, –1) and (0, –2, 1).

A: The aim is to find the equation of line that passes through the given points. The standard form of…

Q: What is the equation of the line that passes through the points(6,4) and (4,1)

A: The equation of the line that passes through two points (x1,y1) and (x2,y2) is given by,…

Q: What is an equation of the line that passes through the point (–1,5) and is parallel to the line x –…

A:

Q: What is the slope of the line that’s passes through the points (3,5) and (-1,5)?

A:

Q: Find an equation of the horizontal line containing the point (3,2) .

A: We have to find an equation of the horizontal line containing the point (3, 2). We know that the…

Q: Find the equation of the line using the given information.(4,4) and (4,0)

A: Given two point,