2. Calculate the slope of the line using two different pairs of points. 3- -8 -7 -6 -5 -4 -3 -1 1. 3 4 7. 6. 2)

Q: 3. What is the slope of the line who goes through the points (4, 2) and (7,-4)? 0 4 O 2 O -2

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Q: What is the slope of the line through the points P(–5, –6) and Q(–12, 5)?

A: solution:-Given points are P(–5, –6) and Q(–12, 5)slope between two points (x1, y1) and x2 , y2 is…

Q: Let P= (2,3) and Q= (4,6). Find the slope of the line containing P and Q?

A: Formula:

Q: Find the slope-intercept form of the line that satisfies the given conditions. Through A(−7, 5) and…

A: The slope intercept form of the line is given by,y = mx + cWhere, m is the slope and c is the…

Q: 2. Decide whether a line with the given slope slants m = ½

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Q: graph the line containing the point P and having slope m. 27. P = 12, 42; m = - 3 4 28. P = 11, 32;…

A: Answer to question 27.   Given: The point is P(12,42). The slope is m=-3.   The point-slope form of…

Q: Find the distance from the point (4,2,3) to the line →a(t)=⟨−5,5,−4> t+⟨6,−7,−3⟩

A: the point (4,2,3) to the line →a(t)=⟨−5,5,−4> t+⟨6,−7,−3⟩

Q: If the line containing the points (a,5) and (7,14) is parallel to another line with slope 3, find a.…

A: Let the equation of the line passing the points (a,5) and (7,14)  be;

Q: Determine whether the lines through the pairs of points are parallel A (2,3), B (2, -2) and C…

A: Slope of line passing through A(2,3) and B(2,-2) is:

Q: C. Find the midpoint of the line segment determined by the following points: 1. (4,-2) and (6,0) 2.…

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Q: What is the length of the line with slope 4/3, from the point (5,4) to the y- axis? O 24/3 O 23/3 O…

A: The slope of the line is given by m = 43 The coordinate of a point on the curve is x2, y2 = 5, 4 To…

Q: 4. Find an equation for the line segment between P(3, -8,0) and Q(-1, 4, 2).

A: Our aim is to find the equation of line.

Q: Points: А: (27, 41) B: (8, 31)

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Q: The midpoint of the line segment from P1to P2is (5.-4) .If P2=(7,-2)what is P1.

A: Explanation: Given that,Midpoint (5,-4)One of the endpoint P2(7,-2)     Formula Used: Midpoint…

Q: 4) Find the slope of each line given. Then determine if the lines are parallel or not. m,=…

A: We know that slopem of a line which passes through pointx1, y1, x2, y2 is given by m=y2-y1x2-x1…

Q: A line has slope and passes through the point (a, b). Which of the following is not a point on l?

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Q: Determine the midpoint of the line segment between A and B shown below: 2 -3 -2 -1 1 2 3 -1 -2 - -3…

A: It can be observed that the point A is and the point B is . According to the Midpoint formula, the…

Q: Find the slope of the line passing through the given points using the slope for mar 1. (7,3) and (5,…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: 7) Calculate the distance between the following pairs of points: a) (3, 90°. -1) and (5, 270°, 5) b)…

A: We have to calculate distance between the given Points.

Q: What slope of the line through the points (6,1) and (4,3)

A: Given points are (6,1) and (4,3). Consider the slope of line  is "m". The objective is to evaluate…

Q: 5. What is the slope of a line that is perpendicular to the line in Exercise 3?

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Q: 2. Determine if the two lines interest at a point or if the lines are skew. 4:7 = [4,1,0] + [13,…

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Q: 12. Find the midpoint of the line segment with endpoints (-4, 16) and (6, -10). О (5, 13) О 1, 3) О…

A: Explanation and solutions is given below....

Q: Let the don points be P1 (√2, 4) and P2 (3√2, 7) 8. It is correct to state that the line joining…

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Q: 1. Find the slope of the line containing the points (1,–5) and (3,–3).

A: We have to find the slope of the line containing the points (1, -5) and (3, -3).

Q: Determine whether the lines L1: (0, −1), (5, 9) and L2: (0, 3), (4, 1) passing through the pairs of…

A: Given: Line L1 passes through 0, -1 and 5, 9.Line L2 passes through 0, 3 and 4, 1 To Find: To…

Q: Find the slope of a line using the table 1 3 7 4 12 20 28 -1/4 4 -4 O 1/4 Option 5

A: Solving the problem by finding the slope of the line.

Q: Determine whether the lines L1: (−2, −1) and L2: (1, 3), (5, −5) passing through the pairs of points…

A: Since, we have been given that two lines are L1: (-2,-1), (1,5) and L2: (1,3) , (5,-5). Our Aim is…

Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 are…

Q: If the slope of the line connecting the origin and a point P is 3/4 and the ordinate of P is 6, what…

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Q: For what value of x the line joining A (4, 1, 2), B(5, x, 0) is perpendicular to the line joining…

A: We can find the value of x using the direction cosines of the two lines

Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

A:

Q: Find the midpoint of the line segment joining the points (5.5, 4.3) and (13.6, –1.2). (9.55, 1.55) O…

A: Explanation of the solution is given below...

Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

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Q: Determine the line that best fits points (1,6), (2,5) and (3,7).

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Q: 19. Use similar triangles to show that the slope of the line through any two points on that line is…

A: We know slope = Difference in y- coordinatesDifference in x- coordinates Consider the figure in the…

Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: (-1,8) 4. 2. (5, -2) Which of the following is the distance of the line segment?

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Q: Show that the points A = (2, 5), B = (6, 1), and C = (8, - 1) lie on a line by using slopes.

A: The slope of a line is determined using any two distinct points on the line. The slope is calculated…

Q: given a line with slope of -1 and y intercept of 8, which of the ordered pairs given below would Not…

A: Given : Slope  =-1y - intercept = 8

Q: What is the slope of the line with points (2, 5) and (8, 10)? O m = 6. O m= O m=- Om= Om= -

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Q: What is the slope of any line that is perpendicular to the line that contains the points (8,8) and…

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Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: The line which best fits the points (1, 2), (-1,0), (2,2), and (3,1) is given by: 7 7 35 11* 11 35…

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Q: 23 ds, C is the line segment from (-1, 7, 2) to (4, 2, 5). Pr. #2)

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Q: What is the slope of the line using points (3,1) and (5,2)

A: The given two points are 3, 1 and 5, 2to find slope of line passes through these points

Q: (3) Use any two points from the table to find the slope of the line connecting the points in the…

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Q: Determine whether or not the line through the points A(0, –4, 2) and B(5, –1, 0) is perpendicular to…

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