If b = C + Dt is the best straight line that fits the points (-2,5), (-1,4), (1,3), and (2,2) then a. D=0.9 b. D=3.5 c. D=-0.9 d. D=7

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

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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: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

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Q: If j 1k and line j has slope , then k has slope

A: Given:j⊥k Slope of j =23Slope of k=?Perpendicular slope:m1×m2 =-1

Q: raction of the lines 3y - x=2, 2y-5x

A: Given:- 3y - x=2, 2y-5x=7  and  y - 2x=7 To find the equation of the line passing through the point…

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: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: Suppose that consumers will demand 20 units of a produ when the price is $60 per unit, and 30 units…

A: The point - slope form of the equation of straight line is : y - y1 = m ( x - x1 ) m is the slope of…

Q: -. Find an equation of line L. (1,3) (-3, –1),

A: We know that slopem of line which passes through pointsx1,y1,x2,y2 is given by m=y2-y1x2-x1…

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-…

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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: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Find the equation of the line passing through the point (2, 1) and that is perpendicular to the line…

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

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Q: Find an equation of the line L that passes through the point  (−2, 6) and satisfies the given…

A: Given,            The line L that passes through the point (−2, 6).Since, L is perpendicular to the…

Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

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Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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

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Q: If b = C+ Dt is the best straight line that fits the points (-2,5), (-1,4), (1,3), and (2,2) then O…

A: Tabulate the given ordered pairs as follows, x y -2 5 -1 4 1 3 2 2 The formula for the…

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: The points (0, 2.6) and (2.9, 7.53) satisfy a linear relationship between two variables, z and y. a.…

A: Given that the points 0,2.6 and 2.9, 7.53 satisfy a linear relationship between two variables x and…

Q: Do the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 - If not, how do you know? t) and (x, y, z) = (13 – 3r,…

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Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

Q: Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line…

A: The  equation passes through the point (4,2) and is perpendicular to 2x + 3y – 3=0.

Q: Find an equation of the line that passes through the point (4, 5) and is perpendicular to the line…

A: Condition that two lines are perpendicular=m1m2=-1m1= Slope of first line m2= Slope of second…

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

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Q: 1. Plot the y-intercept at (0, 6). 2. Plot a second point 3 units down and 4 units right from (0, 6)…

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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: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

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…

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Q: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

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

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Q: 2. Find a general linear equation (ax+by+c=0) of the straight line that has the indicated…

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Q: Find a linear equation whose graph is the straight line with the given properties. through (2.5,…

A: Consider the provided point (2.5, −18) and the rate of increment 1 unit of y per 2 units of x. That…

Q: Find an equation of the line through the point (1, 2) that is perpendicular to the line y =-x+3…

A: We have to find the equation of the line through (1,2) and perpendicular to y=-1/3x+3

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

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Q: What is the equation of the line that passes through (1, 3) and (-2, -3)? Oy= *-1 - x- 2 Oy= -2 x+1…

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Q: A linear equation Ax + By + Cz + D=0 represents a line in space.

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Q: Choose the equation of the horizontal line that passes through the point (2, 3). x = 2 Ox= 3 Oy= 2…

A: The horizontal line passing through the point (2, 3) The horizontal line has the equation y = b if…

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: 1. Find the slope of the line passing through the points (-3, 6) and (9, –3). 1 4 O 3 -- 4 1 2 3 2.…

A: Slope of the line = changes in y/ changes in x.

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

A: Given, We have to find the equation of the line which is  passing through -5, 12 and perpendicular…

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.