r₁(t) = (–4.5, 1, 1.5) + t (1, −4, 1) r₂(t) = (–12, −6.5, −1) + t (−4, 1, −2) Find the point of intersection, P, of the lines r₁ and r2. P =

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: Q3:The line L, whose equation is (= y-1 2 = -2 +z) intersects the line L2 that passes through the…

A:

Q: Find the values of r for which the line (r + 5)x – (r – 1)y + r 2 + 4r − 5 = 0 is [2] (a) parallel…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: Find the points of intersection of x2 = 4y and y = 4x .

A: Given,          The point of intersection of x2=4y and y=4x.

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

A:

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

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

A:

Q: The function y = (x² + ax + b)² is parallel to the line y = − 3x + 7 at (1,0). Find a + b. 3 0 -3 O…

A: Given equation y = ( x2 + ax + b )2 y = -3x + 7  at point ( 1 , 0 )

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

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

A:

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

A:

Q: Find the slope-intercept form of the equation of the line that passes through (−3,9) and is…

A:

Q: 36. Find the point -5x+54+2=D0 which is larat to the point (-3,-4) on the line

A: Recall: Distance Formula:        D=(x2-x1)2+y2-y12 ;  Where d is the distance…