suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or infinity

Q: Find the point of intersection of the following lines, if it exists.

A:

Q: Given: [x, y,z ] = [1,−1,5]+t [3,4,7], determine • the symmetric equations for the line • If…

A:

Q: Show that the straight line (a-b) x+(b-c)y=(c-a),(b-c)x+(c-a)y=(a-b) and (c-a)x+(a-b)y=(b-c) are…

A:

Q: Consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given- Three noncollinear points A,B and C. If each line must contain two of the points . To find-…

Q: a 3 4

A:

Q: The set of all points on one side of a line is calleda/an .

A: The set of all points on one side of a line is called a ____________

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: In the diagram below, is the transversal of the parallel lines m and n. Find m Đ5 if m Đ3 - 4(4 x -…

A: Given,l is transversal of the parallel lines m and n                        m∠3=4(4x-5)  and…

Q: The set of all points on one side of a line is called a/an

A: Consider the given statement "The set of all points on one side of a line is called a half-plane".…

Q: Three points that are all on a line are?

A: Collinear.  If three points lie on the same line, then those three points are said to be collinear.

Q: Determine whether the lines 5x+3y =9   and -3x+5y=10  are parallel, perpendicular, or neither.

A: We know that  Two lines with the same slope are parallel. Two lines whose slopes have a product of…

Q: In the image shown, Line n is a transversal cutting lines L and m. Z3= 2x + 30 Z5 = 3x +1

A:

Q: If three distinct points P, Q, and R all lie on a line and if d (P, Q)  = d(Q, R), then Q is called…

A: If three distinct points P, Q, and R all lie on a line and  d (P, Q)  = d(Q, R),

Q: Find c such that (9,4), (10,3), and (c,6) lie on a line.

A:

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A: Given, Slope of a line in x-y plane is zero and one point on the line is (5,1)

Q: 9. Determine if these lines are parallel lines, perpendicular lines, or neither. L: 5x-2y= 6 L :…

A:

Q: Which of the following is the point of intersection between the lines 3x + y = 10 and x - y = 2 а.…

A: Given:   3x + y = 10    x - y = 2

Q: Determine whether this pair of lines is​ parallel, perpendicular, or neither.   6+6x=3y 3x+6y=1

A:

Q: The point of intersection of two lines 2x + 3y = 6 and x - 3y = 5 4 is (4, 9. O True O False

A: False Because the point of intersection of two lines 2x+3y=6 and x-3y=5 is (113,-49)

Q: 4. Determine whether this pair of lines is parallel, perpendicular, or neither. 3+3x 7y 7x + 3y = 4

A:

Q: Determine whether the lines k = 2x - 1 and w = 2x + 4 are parallel, perpendicular, or neither.

A: Consider the given lines.

Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1=0 are not perpendicular

A:

Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

Q: Find the question of the line passing through the points A(-1, 5) and B(5, 4)

A:

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given:The noncollinear points A, B, and C.

Q: Two lines that have slopes of 5 and are perpendicular. O True O False

A:

Q: The set of all points on one side of a line is called a/an________ .

A: The set of all points on one side of a line is called a/an________ .

Q: 3. Determine the point of intersection of the following lines by graphing OR by substitution OR by…

A: Given : The equations are y=4x-3 andy=-x+2

Q: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: Determine whether the lines through the pairs of points are perpendicular.  A (2,0), B (1, -2) and…

A:

Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

A:

Q: If the slope of a line in the standard (x, y) coordinate plane is 0, and one point on the line is…

A:

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…

A:

Q: 5. Determine whether the following pairs of lines are parallel, perpendicular, or neither. y = 2x +…

A:

Q: 23. Determine if the following pairs of lines are parallel, perpendicular or neither. 2 y =-x+2 3. 3…

A:

Q: If A(4,8,12), B(2,4,6), C(3,5,4) and D(5,8,5) are four points, show that the lines AB and CD…

A:

Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: 1. IN EACH CASE STATE WHETHER THE LINES ARE PARALLEL OR NOT GIVE REASONS FOR YOUR STATEMENT: 41 80 F…

A:

Q: (2) Is there a straight line that passes through the points, if any? * P(1,3,0), P2(0,2, – 1),…

A:

Q: Is the line that contains the points (8, 5) and (5, 8) parallel to the line that contains the points…

A:

Q: Determine, without graphing, if the two given lines are parallel, perpendicular or neither. Check…

A:

Q: If the points (h, 0), (a, b), and (0, k) lie on a line, show that 1 + k h

A:

Q: Suppose M(3, -8) was reflected across the line x = 5, then reflected across the line x = 15. What is…

A:

Q: What is the point of intersection, P(x, y) of the following lines: 5x + 2y = 4 and -2x + y = 11. x =…

A:

Q: -) Determine the intersection of the lines: L,: 5 ==4 and L2: x=y -1 = z

A:

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

A: