Find the value of k so that the line containing the points (k, 1) and (1, 4) is perpendicular to the line containing the points (-8,0) -3, –6).

Q: Find k so that the line through (4, -1) and (k, 2) is a. parallel to 2x + 3y = 6, b. perpendicular…

A: The line passes through the points (4, -1) and (k, 2). Then the slope (m) of this line is: m = [2 -…

Q: Find an equation for the line that passes through the point P(1,5) and is parallel to the line - 4x…

A: Slopes of parallel  lines are same

Q: Find an equation for the line with the given properties  parallel to the line 2x+9y=24 containing…

A: Given line  2x+ 9y = 24 y = (24 - 2x)/9 or y= (-2/9) x + 24/9 compare with  y = mx + c slope of line…

Q: 3. Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: 8. Find the equation of the line passing through the point (-2, 7) and perpendicular to the line 3y…

A:

Q: Find the equation of the line. Use exact numbers. y = r+ 8+ 7+ 6+ 5- 4 3+ 2- -9 -8 -7 -6 -5 -4 -3 /2…

A: Observing from the given graph we have

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)

Q: Find the point on the line 5x+2y+5=0 which is closest to the point (4,5)(4,5).

A:

Q: 3. Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A: Topic- Equation of line

Q: Find the equation of a line parallel to 5x−4y=−3 that contains the point (5,3)

A: Given,  The line  5x-4y = -3  We have to find the equation of the line which is parallel to  5x-4y =…

Q: Find an equation of the line that passes through the point (5, 3) and is perpendicular to the line…

A: We need to find an equation of the line that passes through the point (5, 3) and is perpendicular to…

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: Find the equations of the line passing through the point (-2, 7) and perpendicular to the line 3y =…

A: use the equation of line given in the question .

Q: Q1/ Find the equation of a line passing through (1,2) orthogonal to the line passing through (2,…

A:

Q: Find an equation for the line that passes through the point P(2,4) and is parallel to the line…

A: Given : To determine the equation of the line that passes through the point P(2,4) and is parallel…

Q: 3. Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A:

Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A:

Q: Find the value of k if the straight lines y- 3kx + 4=0 and (2k – 1)x – (8k – 1 )y – 6 = 0 are…

A:

Q: Find the value of k given that the slope of the line joining (0, k) and (5, 11) is -1/4.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y =…

A: Given, a line passing through the point (2, 3) and perpendicular to the line 2y = 6 – 3x.First…

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

A: If two lines are perpendicular then product of their slopes is equal to -1 Now, slope of line…

Q: Find the value of k so that the line containing the points (-–6, k) and (5, –5) is perpendicular to…

A:

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 have the same…

A: The given line equations are 2y=-kx+6 and 3y-x=2kx+3. Rewrite the equations as shown below.…

Q: 3. Find k so that the line containing the points (-3, k) and (4,8) is parallel to the line…

A: The solution to the given question is explained below.

Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

Q: Find the point on the line 6x+ 5y + 5 = 0 which is closest to the point (0, 2).

A:

Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

Q: Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A: Find intersection of two lines :

Q: Find the point ( x, y) such that (1, 3) is the midpoint of the line segment connecting а. (х, у) and…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: Find thw equation of the line joining the points (5,9) and (-4,-6)

A:

Q: If slope of the line passes through the points K (x1,(5+B)) and H (x2, -1 )is – and the midpoint…

A: Suppose we have two points Ax1,y1 and Bx2,y2 . Slope of line passing through the points A and B is…

Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

A:

Q: Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A: L1:x+2y=3 L2:2x-3y=-1

Q: Find the slope-intercept form for the line parallel to - 5x +7y = 35 and passing through the point (…

A:

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Determine x so that 2 is the slope of the line through the points  P(2,5) and Q(x,3)

A:

Q: find the equation of the line passing through the point ( 2,3) and perpendicular to the line 2y = 6…

A: In the given question it is required to calculate the equation of line passing through (2,3) and…

Q: Find the line that passes through the point P(1.2) and the point of intersection of two lines x +2y…

A: Find the equation of a line that passes through the point P(1,2) and the point of intersection of…

Q: Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A:

Q: Find the equation of the line that passes through (3,–7) and is perpendicular to the line 6x + 2y =…

A: Given a line : 6x+2y=8 We need to find equation of a line passing through the point (3,-7) and is…

Q: Find the x and y intercepts of the line that passes through the given points (4,1) and (2,2)

A:

Q: Determine B such that the line 3x+2y-7=0 is perpendicular to 2x-By+2=0.

A:

Q: Find the value of k so that the line containing the points (-7,6) and (-2, k) is perpendicular to…

A: Given,           The line containing the points -7,6 and -2,k is perpendicular to the line…

Q: For each item, find an equation of the line with the given propert (a) containing the points P(-1,…

A:

Q: Q1) Find the line that passes through the point (4, ) and through the point of intersection of the…

A: We need to calculate the equation of line that passes through the point P1(4, 8/5) and through the…

Q: Find the equation of the line using the given information.(4,4) and (4,0)

A: Given two point,