Let P = (1, -2) and Q = (5, 4). Find: (a) the midpoint R of the line segment PQ. (b) the point T(x,y) is of the way from P to Q:

Q: Find the distance of the point P = (4,8) from the line l: y 1 ==x+2.

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Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

Q: 28. In the standard (x, y) coordinate plane, the point (2,-6) is the midpoint of the line segment…

A: Given,  In the standard x,y coordinate planeThe point  2,-6  is the midpoint of the line segmentwith…

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: Q2) Find the slope of the straight line L1 that passes through the points P1 (0, 6) and P2 (5, 2),…

A: In the given question we have to find the slope of two lines and also tell about that are they…

Q: Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A.…

A: The mid-point formula of a line segment is, x,y=x1+x22,y1+y22 where x,y is mid-point of the line…

Q: For the line segment with endpoints A(x,9) and B (-5,y), the midpoint is M(1,-1). What is x and y?

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Q: 14) through: (1, 3), perp. to y = x + 4

A: see 2nd step for complete answer.

Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

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Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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Q: Consider the line 3x – 2y = 7. What are the coordinates of the y-intercept for this line?

A: Consider the given equation of the line. 3x - 2y =7 At y intercept, x coordinate is zero.

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

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Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The straight line PQ is…

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Q: The intersection point of the line y = +2 and the x-axis is

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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: 4. Determine the slope-intercept form the two points on the line. a) (3, – 1), (-6, - 4) b) (4,1),…

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Q: Find the distance from point A = (4, 7, 9) to the following line:

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Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: If the distance between the points R(a+b, b+c) and S(a +c, a +b) is (a – b), show that (a- c)(b-…

A: Given:- Distance between the points R(a + b, b+c)and S(a + c, a + b) is (a−b) To prove:- (a−c)(b −…