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

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Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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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: h is a line with equation y=-3x+5 a) (K,0) is another point on this line. Find the value of K

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Q: b) Consider the line connecting the points P (-1,2) and Q (2,5). i) Find the equation of the line…

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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: What is the equation of a line that is perpendicular to y=-1/3 x-6 through the point (6, 4)? a.…

A: The given line equation is y=-13x-6

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 obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

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: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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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: 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: 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 −…