When fitting a straight line y = a, +a,x to the three data points (xị, Y¡)

Q: A processing line can combine inputs(X) to produce units of output(Y) such that the linear…

A: Step-by-step procedure to obtain regression equation using Excel: Select Data > Data Analysis.…

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

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Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: Find the midpoint of the line segment joining the points P1 and P2.   P1=(d,n) P2=(0,0)…

A: Given:- points are P1 =(d,n) P2 =(0,0)  To find:- Mid point of line segment joining by points P1 and…

Q: Find the value of x that makes lines a and b parallel. a 12x-4 10х + 10 O 10 O 13 O 6 O 7

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Q: What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)? O A. (0,-7) о…

A: we know that equation of line which passes through two given points x1,y1, x2,y2 is given by…

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

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

A: Answer

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) vertical? If so,…

A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: Evaluate (x+y)ds where C is the straight-line segment x = 2t, y = (8 – 2t), z = 0 from (0,8 C…

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

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Example 5. Fit a straight line of Y on X from the following data X : 4 5 Y : 1 3 2 3

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Q: 2. Find the line L passes through the point (-2,2) and perpendicular to the line L: 2x+y= 4.

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Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

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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: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

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: Find the value of a  the line through (-2,3) and (8,5) is perpendicular to y=ax+2

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Q: Given a line with slope of 5 and y-intercept of -1, which order pairs given below would NOT be on…

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Q: points

A: Please refer to the image below

Q: Find the value of x that makes lines u and v 8) x+62 125

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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: 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: Y = , cx. y) = (9,5) X-8 会? Jengent line -? at (9,5)

A: Explanation of the answer is as follows

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 the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…

A: Consider that x is the independent variable and y is the dependent variable. The size of the…

Q: Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? OA ya-s 3 y =…

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Q: Determine the value of x so that line { will be parallel to line m. 1/2 3 /4 5/6 7/8 me1 = + as) 45…

A: Given- m∠1=x2+45° and m∠5=3x4° To Find- The value of x so that the line l and m are parallel to…

Q: A line with slope m passes through points (p, q) and (r, ?_).

A: The complete statement: A line with slope m passes through points p,q & r, ?

Q: Find y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

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Q: Evaluate |V(x? y + x y z?) . dr where C is the line segment from (1,- 1,0) to (2,1,3)

A: Dell Operator:The Dell∆Operator of a scalar function f(x,y,z)  is defined as   ∇f=∂f∂x i+∂f∂y j+∂f∂z…

Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 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: For what value of x the line joining A (4, 1, 2), B(5, x, 0) is perpendicular to the line joining…

A: We can find the value of x using the direction cosines of the two lines

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Q: Find the value of x for which line a is parallel to line b.

A: It is given that,  line a and b are parallel lines,

Q: For the given data (0, 1), (1, 1), (2, 3), (3, 5) find the line y = ao + a1x that best fits the data…

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Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

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Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

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Q: Find the equation of the line L that passes throught point P(3, 8, - 1) and Q( – 7, – 5, 8). | r(t)…

A: Given points:              P(3, 8,-1) and Q(-7,-5, 8) Let p¯ and q¯ be the position vectors of P and…

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 =…

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Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)

A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)

Q: Explain why the lines below are skew. l1: (x, y, z) = (-2, – 2, – 2) + n(1, 2, 3) and l2: (x, y, z)…

A: To show that the given two lines are skew lines. The two lines are                          l1 = (-2…

Q: The graph of the linear equation z = y asses through the point: o (8.3, 8.3) о (8.3, —8.3) о (0,…

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Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Tind The E94ation of line which is normal to the lines X-2 = マー 3-2 %3D - and 2-X %3D 2. 3. 2.

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Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: 4 Adjust the equation so the line passes through the points.

A: Given:   according to  graph dotted point will be 4,2 so, we have two points on line as 0,0,4,2.…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: