Determine whether there exists a constant c such that the line x+cy=6 A. passes thru (4,-10) B. is horazontal  C. is vertical

Q: Which of the lines defined here has/have only one unique intercept.…

A: Which of the lines defined here has/have only one unique intercept.…

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

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: For the line 2x + 3y = 6, find a line parallel to it containingthe point 11, - 12. Also find a line…

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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: Find a question for the line with the given properties. parallel to the line x=2; containing the…

A: Consider a line having equation x=a. it is vertical line and slope of this vertical line is…

Q: Find the closure of a straight line in R x R_.

A: Given: Straight line in ℝ×ℝ. To find: Closure of straight line in ℝ×ℝ.

Q: Find an equation for the collection of points for which the distance to (3, 0) is twice the distance…

A: Calculation of required Parameters.

Q: Write the general (Cartesian) form of the line that contains the point P=(1,6) and is parallel to…

A: This is the cartesian geometry and application.

Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: Which of the following is the point of intersection between the lines  3x + y = 10 and x + y = 4

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Q: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: Slope is basically the vertical or the horizontal change between two distinct points. In a graph,…

Q: Determine whether the lines are parallel, intersect, or coincide. y=2x+1 and 2x- y=-1 * O Parallel…

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Q: Which of the following is the point of intersection between the lines 3x + y = 10 and x - y = 2 а.…

A: Given:   3x + y = 10    x - y = 2

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Determine the equation of the line in explicit form y=mx+b passing through the following two points:…

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Q: Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the…

A: Given: Ax+y-2=0 we know that slope of given line ax+by+c=0 is given by slope=-ab similarly, slope m1…

Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4x - 2y- 5 = 0 4x -3y +9 = 0 O A.…

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Q: Which of the given lines is parallel to the line x + t,y = t, z = -7- 10t?

A: Two lines will be obtained as parallel when the respective coefficients of the parametric variables…

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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Q: Whether the lines 3x+2y=6 and 2x-3y=6 are parallel or perpendicular

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Q: In the form y a) contains the points (0, 4) and (2, 6). b) contains (0, - 3) and is parallel to the…

A: Given, equation of a line is of the form y=mx+b

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: Find an equation for the line with the given properties.  Parallel to the line 2x+9y=24; containing…

A: A line parallel to the line 2x+9y=24 will have same slope as this line Write 2x+9y=24 into y=mx+b…

Q: What is an equation of the line perpendicular to y = -3x + 3 that contains (7,4)? O Answer: y (1/3)x…

A: SOLUTION: y = -3x + 3

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 an equation of the line that satisfies the given conditions. Throught (-1,2); parallel to the…

A: Line passes through the point -1, 2 and parallel to the line x=5. The line x=5 represents a vertical…

Q: Find an equation of the line L. y= - 3x 8- L is perpendicular to y = - 3x. -8 2,-6) Foo

A: Given:     Line : y = -3x     Point ( 2 , -6)

Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: Given y=5x+7

Q: Find an equation of a line in standard for that has a y intercept of 2 and is parallel to the line…

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Q: Determine whether the lines through the pairs of points are perpendicular.  A (2,0), B (1, -2) and…

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Q: Determine whether the lines L1: (−2, −1) and L2: (1, 3), (5, −5) passing through the pairs of points…

A: Since, we have been given that two lines are L1: (-2,-1), (1,5) and L2: (1,3) , (5,-5). Our Aim is…

Q: Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

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Q: Determine whether there exists a constant c such that the line ex - 2y = 4:  (a) Has slope 4…

A: a) We write the line in the y=mx+b form first  Given that slope=c/2=4  So, c=8  Answer(a): Yes, c=8…

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: Use slopes to determine if the lines 2x+5y=3 and 5x+2y=-1 are perpendicular

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Q: Consider the lines & : y 3 + -1 and 2: +t 1 Find the point of the intersection (if any) between the…

A: Given the lines l1 : xyz = 23-4 + s -2-11 and l2 : xyz = 111 + t -11-2.

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

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Q: Determine the value of a for which the line through (2, - 3) and (5, a) is perpendicular to the line…

A: Given:  Two points (2, -3)  and  (5, a)To determine the…

Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4x - 2y 5 0 4x - 3y +9= 0 Option…

A: Let's find.

Q: Find the slope-intercept form of the line that satisfies the given conditions. x-intercept 6,…

A: Given:x-intercept is 6 and y-intercept is -3.The point notation of intercepts are,

Q: If ax2+2hxy+by2=0 represents two straight lines such that the slope of online is twice the slope of…

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Q: Determine whether there exists a constant c such that the line x + cy = -9 Has slope 2: Passes…

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Q: For the straight line defined by the points (2,53) and (4,87), determine the slope (m) and…

A: We need to find slope and y-intercept.

Q: Show that the points A = (2, 5), B = (6, 1), and C = (8, - 1) lie on a line by using slopes.

A: The slope of a line is determined using any two distinct points on the line. The slope is calculated…

Q: The point-slope form of a line is y+y₁ = m(x + x₁), where mis the slope and (x₁, y₁) is a point on…

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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: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

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Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

Q: Use the fact that for points (a1, b1) and (a2, b2) in the coordinate plane, we can calculate the…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.