Consider the line L1 and L2 whose symmetric equations are a. Are L1 and L2 parallel? Perpendicular? Justify your answers.  b. Find the equation of the line L3 passing through (2,-1,4), and perpendicular to both L1 and L2

Q: · Find the equation of the line through (4, -1) and perpendicular to 3x+y=2. Answer in y=mx+b

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Q: find an equation of the line through the point A that satisfies the given condition. write the…

A: Given: A line passes through the point A6, -3 and parallel to the line 4x+3y=9. To Find:  To find an…

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Q: Find the equation of the line that is a perpendicular bisector of AB, with the endpoints A(7, 7) and…

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Q: An equation parallel to the line 4x + 6y = 6 could be?

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A: Given, A line passes through the point 4, 2  and is perpendicular to the line   y =-2x+4 We have to…

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A: Given that the required line is parallel to y=3x-4. Note that the slope of line y=3x-4 is 3. It is…

Q: Which of the following is the Cartesian equation of the line passing through C(2,-1) and parallel to…

A: We can find the equation of line as below

Q: Determine whether the lines 5x+3y =9   and -3x+5y=10  are parallel, perpendicular, or neither.

A: We know that  Two lines with the same slope are parallel. Two lines whose slopes have a product of…

Q: Which of the following gives an equation of a line that passes through the point (,-) and is…

A: The required line is parallel to the reference line that passes through origin and (-2,-12). So, the…

Q: Which equation represents line e, shown in the accompanying diagram? A. А. y = 2x + 3 %3D 5- -4- B.…

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Q: Determine the relative position of the lines p and q. If they are divirgent, find their…

A: p: 2x-y+3=0q: x+2y=0 First find slopes of both the line  If slopes are not equal then lines are…

Q: Find the equation of the line that passes through A (1/2, 1/3) and which is (a) parallel to the line…

A: Equation of line parallel to R : 6y+18x=11 Equation of line perpendicular to R : 6y=2x+1

Q: Find the equation of the line that goes through the point (4, –3) and, relative to the line 1 1 2*+…

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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: Give an example of a pair of perpendicular lines, neither of which is parallel to the coordinate…

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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: Q3)The line x=3+8t, z=-3-t is parallel to plan

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Q: Consider the line graphed on the coordinate plane. If the equation of the line can be written as y =…

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Q: Determine if the lines defined by the given equations are parallel , perpendicular, or neither…

A: Given two lines 4x+9y=-9 and 23x+32y=-9

Q: Find the equation of the line parallel to: a. 13x + 9y + 180 = 0 b. 2х-7у-35%3D 0 x+ 10y-11 0…

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Q: Determine whether the lines are parallel,perpendicular, or neither.

A: L1 : y=12x-3L2 : y=-12x+1 Consider, L1 : y=12x-3 Comparing with y=mx+c, we get m=12 Therefore slope…

Q: Find an equation for the line parallel to 4y+20x=32and goes through the point (−9,6). Write your…

A: Given line  4y+20x=32

Q: Consider the line 5x+ 6y= 3. What is the slope of a line perpendicular to this line? What is the…

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Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Write the equation of a line that is perpendicular to y +9 and that passes through the point (4,-6).…

A: The line is perpendicular to y=-27x+9 and passes through (4,-6)

Q: In the form y = mx + b, find the equation of the line that a) contains the points (0, 4) and (2, 6).…

A: Given: a) Points (0, 4) and (2, 6) b) Point (0,-3) and line: y=34x-5 To Find: Equation of line in…

Q: Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y…

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Q: Find an equation for the line parallel to 3y+15x=27  and goes through the point (−10,−1) Write your…

A: To find equation for the line parallel to 3y+15x=27, we will need to find the slope of the line.We…

Q: Show that the equation 8x2-24xy+18y2-6x+9y-5=0 represents a pait of parallel lines and find the…

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Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A: The two points are given as , a,0 and 0,b. To find the line with intercepts on given points.…

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: 5x 2x (5x + 40)°

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Q: 29. L1: y = 2x - 3 1 La: y = -デx - +1

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Q: Which line is parallel to the line given below? +1 3x +4y = 8 3x-4y=-28 4x+3y=-15 4x-3y = 9

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Q: Find an equation of the perpendicular bisector of the line segment joining the points A(3,0) and…

A: Given that the two points are A(3, 0) and B(7, –4).The slope of the segment AB is calculated as…

Q: ☺ Assume the line "g" goes thnrough the point (!,-2) tis paraliel to the line y= 3x+1. What is the…

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Q: Which of the following is the Cartesian equation of the line passing through A(1,2) and…

A: Let point ( x1 , y1 ) = (1,2) perpendicular to x-axis

Q: Show that if the x- and y-intercepts of a line are nonzero numbers a and b, then the equation of the…

A: The x and y-intercept of a line are non-zero numbers a and b respectively. We have to show that the…

Q: find the equation of a line given the conditions through (1,-6) parallel to x+2y=6

A: Given line :- x+2y=6 2y=-x+6y=-12x+3slope=-12

Q: A horizontal line is given by an equation of the form................... ,where b is…

A: We have to fill in the blanks: A horizontal line is given by an equation of the form --, where b is…

Q: Find the equation of a line which passes through the points ( 6+B, -7) and (4, -(8+B)) in form y =…

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Q: Given the points A(1,5,4) and B(6,8,12) determine the equation of a line in symmetric form.

A: we have to find the equation of a line in symmetric form from the given points

Q: What is the equation of the line containing the perpendicular bisector of AB? B(a,a) O A(0,0) The…

A: Given,  A line segment AB  with A0, 0  and  Ba, a  We have to find the equation of the perpendicular…

Q: Which of the following equations depicts a line that is perpendicular to the line +7 -12x+3 y-2x-4…

A: The equation of the line is , y=-12x+7 find the equations depicts a line that is perpendicular to…

Q: Find the equation of  the line under the following conditions: perpendicular to 8x +  3y  -27=0…

A: Given equation is 8x+3y-27=0 and point (-16,-8) find a equation of a line

Q: Find an equation of the line that (a) has the same y-intercept as the line y−1x+3=0 and (b) is…

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