Let A = (3, – 6) and B= (4,8). What is the equation of the line through the midpoint of AB that is perpendicular to AB? This line is called the perpendicular bisector of AB. The equation of the line is y = N

Q: Consider the line 15x+16y=16 what is the y-intercept of the parallel line through (16,16).

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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: Find the midpoint M of the line segment joining the points S = (4, -8) and T = (-6, -4). %3D M = T.

A: Use midpoint formula

Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: When two line are parallel to each other,then their slopes must be equal.

Q: equation

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Q: Find an equation for the line perpendicular to the line −3x−3y=−4−3x−3y=−4 having the same…

A: It is known that, let m1 and m2 be the slope of the perpendicular lines then m1×m2 = –1.

Q: ub-) Find the equation of a line entirely in n which is perpendicular to the line D at the point…

A: You asked to solve part (b) only. So I supposed that you have equation of the plane π and…

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

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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: Find the equation of the line containing the point P(4, 5) and parallel to the graph of 4x + y = −1.

A: We first find the slope of 4x+y=-1y=-4x-1compare this with y=mx+bm=-4slope=-4

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: 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: Find an equation of the line that satisfies the given conditions.  Y-intercept = 7; parallel to the…

A: We first find the slope of the given line.5x+6y+8=0Comparing with y=mx+b we get m= -5/6

Q: In the equation of the line                      ⟨x, y, z⟩ = ⟨x0, y0, z0⟩ + t⟨x1 - x0, y1 - y0, z1 -…

A: The given equation for the line is,

Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 are perpendicular to each other

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Q: Find the midpoint M of the line segment joining the points C = (-8, 4) and D = (-4,-2). C. M =

A: Given: C=(-8,4)and D=(-4,-2) To find the midpoint of the line segment CD¯ joining points C=(-8,4)…

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 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 midpoint M of the line segment joining the points A = (-6, -5) and B = (4, –1). M = 0D A

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Q: Find the equation of the bisectiors of the obtuse angle between the lines x+y-5=0 and x-7y+7=0

A: Given that, x+y-5=0   .................(1) x-7y+7=0   ..............(2) equation (1) can be written…

Q: Find the midpoint M of the line segment joining the points C (-1,-1) and D = (5,-5). %3D M = 0D

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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: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A: given coordinater are(-1,5) , (1,-1), (1,-4)For the points to be collinear ,area of the triangle…

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

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Q: determine whether the lines x = p + su and x = q + tv intersect and, if they do, find their point of…

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Q: Find the midpoint M of the line segment joining the points A = (-2, -8) and B = (6, 4). B M = D A

A: Given:  line segments with two end points  A=(-2,-8) and B=(6,4)We know that the mid-point of thetwo…

Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t…

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

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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: 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: Consider the line  2x+7y=2   . What is the slope of a line parallel to this line? What is the…

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Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 is perpendicular to each other

A: 2x+3y-7 =0 ...... (i) y = (-2/3)x +7/3  -PX+4y-12=0 ........(ii) y =(p/4)x  +3

Q: Let A= (3, – 6) and B= (4,8). What is the equation of the line through the midpoint of AB that is…

A: We have A=(3,-6) and B=(4,8)

Q: Consider the line whose equation is y=−16x+4. The slope of any line that is parallel to this line…

A: Given Data: The equation of the given line is: y=-16x+4 ......(1) The slopes of the two parallel…

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

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Consider the line x+8y = 7. What is the slope of a line parallel to this line? What is the slope of…

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Q: Find the distance between the given parallel lines 3x-4y=12 3x-4y=7

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Q: Consider the line y ax, where a is a positive constant. What should be the x- coordinate of the…

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Q: Find the equation of the line that contains the point P(−4, −3) and is perpendicular to the graph of…

A: To determine the equation of the straight line satisfying the given properties

Q: −7x+3y=−6 A line parrell and a line perpendicular would have a slope of?

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Q: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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Q: Find an equation of the line that satisfies the given conditions. y intercept 6; parallel to the…

A: y-intercept of the line is 6 and is parallel to the line 2x+3y+4=0. Now the slope of the line…

Q: Find the slope of the line that passes through each pair of points I(6,7),J(11,1)

A: The given points are I(6, 7), J(11, 1). The slope of line passing through paints is m=y2-y1x2-x1.

Q: Find the midpoint M of the line segment joining the points P (2, 2) and Q = (-8,-6). M = (.D

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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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Q: parallel to the line 2x+3y+4=0

A: Equation of line passing through point and with slope m . (y-y1)=m(x-x1)  if two lines are parallel…

Q: What is the slope of the line in the xy-plane that passes through the points and A) -1 B) 3 C) 1 3…

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