38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are skew. If they intersect, find the intersection. (a) ri(t) = (5+t, 1-t, 8-3t), r₂(t) = (1+2t, -4+t, 8-2t) intersect: (1,-1,2) Hint: Write r2(t) as r2(s) = (1+ 28, -4+8, 8- 28)

Q: Find the slope-intercept form for each linear equation. a) Slope & intercept: m = 4 and (0 , 5) b)…

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Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

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A: Lines r1 and r2 can be rewritten as follows:

Q: A. Find the vertex for y = x² + 2x- 3. A. (0,-4) В. (1,-2) С. (-1,-4) D. (-2,-3) A

A:

Q: (2) Is there a line that passes through the points p3(3,0,1);P1(4,-1,-1), P2(2,1,3),

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Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: a) (2, - 3) and (2, 5) b) (3, - 2) and (-7, - 2) Find the distance between each pair of points: c)…

A: since you have posted multiple questions so we solve the first three for you, to get the remaining…

Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

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Q: 5. What is the y-intercept of y= 2x++7x3-4x2-27x-18? В. 4 А. 2 C. -27 D. -18

A: The solution is given as

Q: Which one of the following points does NOT lie on the line 5y + 8x - 4 = 0?

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Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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A: We have, point a+b,a-2b is the point of intersection of lines 3x-2y=19 and 2x-5y=9. Therefore, such…

Q: 8. For each pair of lines and m below determine whether the lines intersect, are parallel or…

A: Please see the below pictures for detailed solution.

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Q: Which equation passes through the points (3,4) and (6,9)?     y−9=5 over 3(x−6)   y+9=3 over 5(x+6)…

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Q: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

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Q: Find the equation of the line: -6 -5 -4 -3 -2 -19 12 34 5 6 -2 -3 O y = 3.5x O x+y=3.5 O x= 3.5 O y…

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

A: Consider the given point for line L1. P1=0,6P2=5,2 Now, find the slope from the above points.…