The ordered pair (4, 19) is a/an . equation y = x² + 3 because when 4 is substituted for x and 19 is substituted for y, we obtain a true statement. We also say that (4, 19). equation. of the the

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 the equation of the line that is perpendicular to the line 2x – 4y = 5 and contains the point…

A:

Q: Find an equation of the line L that passes through the point (−4, 6)and satisfies the given…

A: Equation of a line passing through (a, b) is: (y - b) = m(x - a)

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

A:

Q: Show that the equation x+y+z=4 ,2x+5y-2z=3,x+7y-7z=5 are not consistent

A: A square system of equations represented by, AX=B is considered inconsistent if the inverse of the…

Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ 4+ (-6, 1) (-4, 1)…

A: Given, The coordinates of point -4, 1  We have to find the coordinates of point -4, 1 after a…

Q: What is the equation of the line Lz pass through the point ( 2,-1) that is parallel to the line L,…

A:

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

A:

Q: Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and x = -1, 2 3 espectively.

A:

Q: Which of the following lines passes through the point (3, –7) and is perpendicular to the line whose…

A:

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

A:

Q: The line segment joining P (-1, -6) and P2(3, 0) is extended beyond P, to Po so that P, is four…

A: As 2 questions are given, So I will solve only the first one : We are given : P1(-1,-6) and…

Q: of 4+ 2- Find the equation of the line parallel to the line graphed that passes through the point…

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: Find an equation of the line L that passes through the point  (−2, 8)  and satisfies the given…

A: Given Point P(-2,8) & x-intercept = 3To find equation of line L:

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

Q: Which of the following lines passes through the point (3,-7)  and is perpendicular to the line whose…

A: Given equation of line is 2x+4y=20.

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 ordered pair (2, 5) satisfies 3y - 2x = -4. Determine whether the statement is true or false. If…

A:

Q: What is the value of a if the point (a, – 1) is on the line 3x – 2y = 8? a =

A: We have to find the value of a.

Q: The line 4x – 3y = -32 intersects with x – axis. Find the angle from the said line to the x – axis.…

A: Topic:- slope and angle with x -axis

Q: The plane through the points (-5,-1,5), (2,4,7), (7,5,-6) has equation Ax + By + Cz = D. If A = 67…

A: 1)A plane containing the point (-5,7,-6) and the line r¯(t)=2,6,-2+t1,-3,-4 2)A plane passing…

Q: If Point S' is located at (-1, 4) which axis was IS -5 -4 -3 -2 1-1 1 2 4 5 6 -2 5. 2. 1.

A: Given that  the point (-1,4)  is located in co ordinate axis

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: A right triangle with a right angle of (-3, 2) and one of its legs satisfies the equation…

A:

Q: 1. Which of the following lines is parallel to y = 4x 2?

A:

Q: Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to the…

A: To Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to…

Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: If rAB = -7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: Given that AB=-7i+3j+8k   and  A=-2, -3, 6. Consider them as AB=-7i+3j+8k   and  A=-2i-3j+6k.…

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: From your current point of view, a tree is 1 meter to your right and 1 meter ahead of you. If you…

A:

Q: Which of the points A(4,4) or B(5,3) is closer to the point C(-1,-3)?

A:

Q: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.

Q: The equation for the set of all points (x, y) that are equidistant from the points (-1,2) and (3,-2)…

A:

Q: If P = (-3,4), Find: Ry-axis (P) у-аxis

A: Topic = Geometry

Q: The equation of the line that goes through the point (8,10) and is perpendicular to the line 2x+3y=3…

A:

Q: Which of the following equations represents a line perpendicular to y = 2x – 7 and passing through…

A:

Q: Find the equation of the line in standard form (ax+by=c) that passes through the following points…

A: Explanation of the solution is given below...

Q: Find the equation of the line that goes through the point (7, 4) and is parallel to the line 5x + 3y…

A:

Q: The equation of the line that goes through the point (8,1) and is parallel to the line 4x+4y=3

A:

Q: Find the equaation of the pair of lines intersecting ar (2,-1) parallel to the pair 6x2-13xy-5y2=0

A:

Q: Find an equation of the line L that passes through the point (−4, 8) and satisfies the given…

A: let's slope of line is m then equation of line which passes through point-4,8 will be…

Q: The plane through the points (2,-7,-8), (7,1,1), (4,6, 2) has equation Ar + By + Cz= D. If A -69…

A:

Q: (2, −5), m = 0 Because the given line is horizontal, is parallel to the x-axis, and passes through…

A: (2, −5),  m = 0Because the given line is horizontal, is parallel to the x-axis, and passes through…

Q: find an equation of the line l that passes through the point (-2,9) and satisfies the condition l…

A: Here we find the equation of the line l that passes throughthe point -2,9 and satisfies the…