We know that to plot a point on the plane, we need the two coordinates x and y. So (xi, yi) stands for a point. How many points do we need to determine a specific line? And what if we have more points than that – can we draw a line that goes through all of those points? (By a line we mean a straight line, not curves or zigzags)

Q: Given two lines in space, either they are parallel or they intersect each other or they are skew? If…

A: Standard form of the equation of the line is (a+bt,c+dt,e+ft), where t is a parametric variable and…

Q: If line I is parallel to line m, find the value of y. (9y+ 2), k (4x) (11r-8)° j

A: In the question it is asked to calculate the value of y for the given diagram below.

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Q: 2. Find the equation of the line (a). Through (1,3) with m = -2; (b). x-intercept -2, y-intercept 4;…

A: we know that equation of line is :  y - y1 = m ( x - x1 )

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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Q: Find the equation of the line with the given description. Parallel toy = 3x - 4, passes through (1,…

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: Find the point of intersection of the lines with the given equations. 6x + 4y = −10   and   6x + 9y…

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Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A: Given, Slope of a line in x-y plane is zero and one point on the line is (5,1)

Q: If M(4, 3) is the midpoint of the line segment AB, and if A has coordinates (1, -1), find the…

A: M4, 3 is the midpoint of the line segment AB and the coordinates of A are 1, -1.

Q: The diagonals of rhombus TEAM intersect at P(2,1). If the equation of the line that contains…

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Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: Given that, when x = -1, y= 70; x = 1, y= 70; x = 2, y = 210; and that the line of best fit for…

A: The linear equation is represented as y=mx+c. The linear regression technique uses a dataset of x, y…

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: Given that, when x = -1, y = 140; x = 1, y = 140; x = 2, y = 420 and that the line of best fit for…

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Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

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: Show that the lines given by the following equations are parallel. L1: 2x + 3y = 6 L2: 4x + 6y = 0

A: Given: L1: 2x+3y=6L2: 4x+6y=0 Concept Used: Parallel lines have equal slope.

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: Let I, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-7) Let l, be the line…

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Q: Let /, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-5) Let lz be the line…

A: To find the distance between two given lines we need to consider general point on each line. Minimum…

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

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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: Consider the line which passes through the point P(2 -3, -4), and which is parallel to the line x =…

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Q: L1:x = 1+ 2t, L2:x = 2 – s, y = -1 - t, y = 3s, z = 3t, z = 1+ s, -00 <t< 0 -00 <t< 0

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Q: Show that if a, b≠0, then the line with x-intercept x = a and y-intercept y = b has equation…

A: Given: x-intercept=ay-intercept=ba, b≠0 To Find:  To show the equation of the given line isxa+yb=1

Q: Given these two lines:  y= 7/5 x - 4 y= 6/5 x - 3 where do the two linew intersect? *your answer…

A: Given: y=75x-4  ...1y=65x-3  ...2

Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

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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: The equation Ax + By + C = 0, where A and B are not both zero, is called the_______ form of the…

A: The equation Ax + By + C = 0, where A and B are not both zero, is called the_______ form of the…

Q: Given the point A(1,3) and the line 5y+ x = -10, determine the shortest distance between the point…

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Q: Given the line 4x - 3y 10, find the equation of the line perpendicular %3D and passes through the…

A: Given : 4x - 3y =10 rewrite -3y = -4x +10 y=43x -10

Q: Question 1 What is the intersection point of the lines `y=-4x+4° and `y=2x+1*?

A: Given, The lines  y =-4x+4  and y = 2x+1 We have to find the point of intersection of lines,

Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. х — 1 y - 2 z - 12 %3D 1…

A: Given problem :-     To find:-  Intersection point of given lines

Q: On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if…

A: Given that: Slopes of the sides of the quadrilateral are given.

Q: Find an equation of the line that satisfies the given conditions. Through (6,2); perpendicular to…

A: From the given information, the line passing through the point (6, 2) and it is perpendicular to the…

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A: Given :          The lines y = 2x - 1 and y = ax + 2 are perpendicular .   To find the value of a.

Q: Show that the lines with symmetric equations L1 : = = and L2 : 팡!%3D 부 =D 촬 %3D y-3 are skew.

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Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

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Q: Question 1 Determine the best fit straight line for the points (1,1), (2,2) and (-1,0) .

A: First we find slope and then find y-intercept

Q: Find an equation of the line that satisfies the given conditions. 1 Through (-2, 2); perpendicular…

A: Here we find the equation of line satisfies the given condition through-2,2 ; perpendicular to the…

Q: Find the equation of the line that satisfies the given conditions below. Through (4,5); parallel to…

A: Given :- points (x,y)=(4,5) To find :- equation of line parallel to y-axis…

Q: What is the value of d that makes lines e and f parallel?

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Q: Given these two lines: -1 a+3 6- a-5 Where do the two lines intersect? • Your answer must be a…

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