what is the equation of the line

Q: Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7y = 14, and line w…

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

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation

Q: Find equations of the lines passing through (2, 4) and having the following characteristics.…

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Q: The planes with the equations x + 3z = 12 and y - 5z = 10 intersect in a line. Find the equation for…

A: The plane equations x+3z=12  and  y-5z=10

Q: Find an equation of the line having the given characteristics. Express your answer using either the…

A: To Determine: find an equation of the line parallel to the line 2x-3y=-4 containing the point -5,3.…

Q: In Problem,find an equation of the line having the given characteristics.Express your answer using…

A: Slope of parallel lines are equal. So, find the slope of the line 2x-3y=-4. Slope-intercept form of…

Q: 5. Find the equation of the line that passes through the point (3,-7) whose graph perpendicular to…

A: 5.  The line passes through the point 3, -7 whose graph is perpendicular to the graph of 5x+9y=-126.…

Q: Find the equation of a line with each of the following characteristics. a) parallel to the line y =…

A: (a) Given Data: The equation of the line parallel to the required line is: y=3x+5 ......1 The…

Q: 4. Write an equation of the line that satisfies the given conditions. (a) Passes through the point…

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Q: they wanted to create a similar equation for their county. They wanted to generate an equation that…

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Q: Two planes with equations x - y + 2z=4 and x + 2y - z = -5 intersect along a line L. Determine the…

A: Find the intersecting line L. For any random point on the line L, we can find the general distance.…

Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

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Q: 10 2 -10 -8 -6 -4 -2 6 8 10 2 4 -2 -4 -8 10 Slope: y-intercept: Equation:

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Q: 4) Find the equation of the line that is orthogonal to the line r = (1,-3+ 2t, 6- 2t) %3D and…

A: Given, x=1 y=-3+2t z=6-2t From the line equation, v=(0,2,-2) and P0=(3,0,3) Substitute the values,

Q: Find an equation of the line having the given characteristics. Express your answer using either the…

A: To find the equation of line which is perpendicular to the line 3x-y=-4 and containing the point…

Q: find an equation for the line with the given properties. Express your answer using either the…

A: To find the equation of line perpendicular to the line 2x+5y=2 and passing through point (-3,-62).…

Q: A. Find the equation of the line in standard form with integer coefficients satisfyin the given…

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Q: 11.) Slope-Intercept Form 1. -7 -6 -3 -2 -1 -9-8-7-6-5-4-3 -2 -1 2 3 4 5 6 8 9 -2 -3 -4 -5 -6 -7 -8…

A: The line  passes through the points (0,-9) and (4,5)

Q: What is the equation of the line that is parallel to y=-3z+12, passing through (4, 2), written in…

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Q: atxm=6 -- @through points (-2,3) and- (4,8)- having Shpe 2 and y-intercept-i through (,4) and-…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 9. Find the equation of the locus of a point, the difference of whose distance from (-5, 0) and(3,…

A: Suppose the point (x,y). The distance between (x,y) and (-5,0) is: (x+5)2+y2 And, the distance…

Q: 9 Consider the line y= =2x-2. Find the equation of the line that is parallel to this line and passes…

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Q: A straight county road with equation y = -0.75x + 11.5 intersect two highways with equation y = 0…

A: A straight county road with equation y = -0.75x + 11.5 intersect two highways with equation y = 0…

Q: True or False: (a) The lines y = 2x - 3 and y = -2x - 3 are perpendicular (b) The lines y = 2/5x +…

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Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: The line with the equation3x-y 2 is graphed in the xy-plane. What is the x-coordinate of the…

A: Given line is 23x-78y=2 is graphed in the xy planewe find x-coordinate of the x-intercept of the…

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

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Q: 02/ Two helicopters, HI and H2, are traveling together. At the time 1= 0, they separate and follow…

A: Coordinates of two helicopter are, H1: x=6+40t , y=-3+10t , z=-3+2tH2: x=6+110t ,y=-3+4t , z=-3+t…

Q: 2 9- -2 2 4 -2 -4 -6 What is the equation of a line that is perpendicular to the line shown and goes…

A: Two point formula of slope x1,y1 and x2,y2  m = y2-y1x2-x1 When lines are perpendicular then product…

Q: . Determine an equation of the lines described below line of intersection of the planes 4x - 3y + z…

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Q: Find the equation of the line containing the point  P(1, 3)  and parallel to the graph of  4x + y…

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Q: The slope of a horizontal line is  ---Select--- -1 0 1 undefined . The equation of the horizontal…

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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: A line h passes through a point P(2,–4,3) and is parallel to the line of intersection between planes…

A: We will use cross product to find vector parallel to h and then check it will be parallel or…

Q: Line 1 is defined by slope m = 3 and y-intercept c = 4. Line 2 passes through the points (x,y) =…

A: Given problem:- Line 1 is defined by slope m = 3 and y-intercept c = 4. Line 2 passes through the…

Q: 20. What is the direction of the line passing through the point (1,-2) that has the maximum slope?…

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Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: Line A, 4x - 2y = 10 , is parallel to line B which contains point (-2, 6). What is the equation of…

A: let equation of parallel line to 4x - 2y = 10 is 4x - 2y = C

Q: A cell phone tower is located at (5,-2) on a coordinate plane with units in kilometers. What is the…

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Q: The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the…

A: the given line equation y=1/3x+1   .......(1) compare this line with standard form y = mx  +c m =…

Q: 6. Consider the line y=-- 응자+3. 5 Find the equation of the line that is parallel to this line and…

A: Solution: The objective is to find the equation of the parallel line and perpendicular line

Q: 11. Write the equation of the line with r-intercept -4 and y-intercept 3. 12. Write the equation of…

A: 11. We have to find the equation of a line of which x-intercept is -4 and y-intercept is 3. 12. We…

Q: 9a. The coordinates of point A are (6, -7) and the coordinates of point B are (-6, 2). L, is the…

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Q: How do I find an equation in point-slope formthat passes through the point (-7, 12) and…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.