In the form y a) contains the points (0, 4) and (2, 6). b) contains (0, - 3) and is parallel to the line y = x = mx + b, find the equation of the line that 5.

Q: write down the equation of the pair of straight lines joining the origin to the points of…

A:

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A:

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: Haw Find the equation for the Line that Pafps through Point ( 2, 1) and Pamllel to the Line 2x+y=-1

A: we are given a equation and a point. 2x+y=-1, (2,1)

Q: How find the pistance from fant (1,3) and Line y -4

A:

Q: calculate the distance between point(5,2) and the line, 2x+5y=10

A:

Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: WHAT IS THE EQUATION OF A TAMILY Of A STRAIGT LINES WITH X Y INTERCEPIC

A: We can find the equation of family of a straight lines with x and y intercepts as below

Q: The line perpendicular to y=x+5, passing through the point (3, 2).

A: You know that if you multiply slopes of two perpendicular lines you will get -1. m1 x m2 = -1

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

A:

Q: In the coordinate plane, linep has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: Given:               Slope of line p= m=8 And,                y-intercept = (0, 5)   So,         The…

Q: Determine the symmetric equations of line that passes through the points B and С.

A:

Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

A:

Q: The midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2) is (______ ,________ ).

A:

Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

A:

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: write down the equation of the pair of straight lines joining the origin to the points of…

A:

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

A:

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

A:

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

A:

Q: Do the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 - If not, how do you know? t) and (x, y, z) = (13 – 3r,…

A:

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: What is the midpoint of line segment XY with coordinates X (-4, 10) and Y (8,6)? (-6, 2) (3, 7) (-7,…

A:

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

A:

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: Find the equation of a line perpendicular to 4x+5y=3 that conatins the point (5,5). (write the…

A:

Q: The product of the slopes of two nonvertical perpendicular lines is

A:

Q: Give the equation of the line passing through the point (12, – 16) that is perpendicular to 6 y =…

A:

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: Find 1x²z ds, where C is the line segment C from (0,-3,-5) to (2,1,-5)

A:

Q: Suppose the midpoint of line segment AB is M-(-4,2). If point A has coordinates (-6, -4), what are…

A:

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

A:

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

A:

Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

A:

Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: standard form of the line with center (5,1) and tangent to the line 7x+2y=17

A: Given Data: Center: (x1, y1) = (5, 1) Tangent: 7x+2y=17   The general equation of tangent is,…

Q: The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in…

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

A:

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…