Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the points.(−1, 5), (1, −1), (1, −4)

Q: Find an equation for the collection of points for which the distance to (18, 0) is twice the…

A:

Q: Which equation represents the line that passes through the point (7, -12) and is perpendicular to…

A: The line is perpendicular to y-axis. Thus, the line is a horizontal line. The slope of a horizontal…

Q: Find the midpoint M of the line segment joining the points S = (4, -8) and T = (-6, -4). %3D M = T.

A: Use midpoint formula

Q: x² + y? – 10y + 9 = 0 and x – y = 7 ii x2 – 8x + y? – 6y = 25 and x +y = 20

A: Given:- i   x² + y²-10y + 9 = 0 and x - y = 7 ii   x² 8x + y² - 6y=25 and x + y = 20  To find:-…

Q: Find equations for the line perpendicular to the triangle (PCQR) and through the point (P) if…

A:

Q: Find the symmetric equation of the line that passes throug the two points P(2,4, –7) and Q(-1,…

A:

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A: First we find the equation of the line passing through first two points and then we check whether…

Q: Find the equation of the line that is a perpendicular bisector of AB, with the endpoints A(7, 7) and…

A:

Q: Determine whether each point lies on the line. ......e x = -4 + t, y = 4t, z = 3 + t (a) (0, 16, 7)…

A:

Q: Find an equation of the line that passes through the point and has the indicated slope m. (Let x be…

A: We will find the equation of the line in the following step.

Q: Find the cartesian coordinate of the point P(r;Ɵ ) =(2,-π/6)

A:

Q: Determine whether each point lies on the line. x = -4 + t, y = 6t, z = 7 +t (a) (0, 24, 11) Yes No…

A:

Q: Find an equation for the collection of points for which the distance to (3, 0) is twice the distance…

A: Calculation of required Parameters.

Q: Write the general (Cartesian) form of the line that contains the point P=(1,6) and is parallel to…

A: This is the cartesian geometry and application.

Q: Determine the distance, midpoint, and slope between the points A: (6, -1) and B: (4, -5) shown on…

A: The coordinates planes are:-

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: Find the x- and y- intercepts (a,b) of the line L: x - 2y = -4 O a = 2, b = 4 %3D O a = -4, b = -2 O…

A:

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = (…

A: To find the intercept x,y,z

Q: Find the coordinates of any point p1, p2, p3 - p4 symmetrically y = ax + b

A: We have to find images of every point p1,p2,p3 and p4 about a line y=ax +b Let us suppose, p1(x1 ,…

Q: Find the midpoint M of the line segment joining the points P = (-1, 6) and Q = (7, - 2). %3D M =

A:

Q: Find the midpoint M of the line segment joining the points S (7, 4) and T = (-3, -2). %3D %3D

A:

Q: Find an equation of the line that passes through the point and has the indicated slope m (Let x be…

A: Given, Point x1, y1=1, 2 And slope m=-12

Q: Find the midpoint M of the line segment joining the points C = (-8, 4) and D = (-4,-2). C. M =

A: Given: C=(-8,4)and D=(-4,-2) To find the midpoint of the line segment CD¯ joining points C=(-8,4)…

Q: Find the midpoint M of the line segment joining the points A = (-6, -5) and B = (4, –1). M = 0D A

A:

Q: Determine if the given lines are parallel, skew, or intersecting? (If intersecting, find the point…

A: Given lines are l1:x=2+t1   y=3-2t1   z=1-3t1l2:x=3+t2   y=-4+3t2   z=2-7t2

Q: Find the midpoint M of the line segment joining the points A = (-7,4) and B = (1,-6). M = D

A:

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) =…

A:

Q: 10. Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3,…

A:

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

A:

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A:

Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis `y-x -5)²+3…

A: To find the correct option

Q: Find the midpoint M of the line segment joining the points A = (-2, -8) and B = (6, 4). B M = D A

A: Given:  line segments with two end points  A=(-2,-8) and B=(6,4)We know that the mid-point of thetwo…

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = (…

A:

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: Determine whether the points lie on a straight line. D(0,-5,5)   E(1,-2,4)   F(3,4,2)

A:

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: We have to find any intercepts and test for symmetry with respect to both axes and the origin. (If…

Q: Consider the lines & : y 3 + -1 and 2: +t 1 Find the point of the intersection (if any) between the…

A: Given the lines l1 : xyz = 23-4 + s -2-11 and l2 : xyz = 111 + t -11-2.

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

A:

Q: Give the coordinates of Q" after parallelogram PQRS with vertices P(0,6),. Q(5,-4), R(4,-7),…

A: we have been given the points of a parallelogram and we have to first reflect it across the y-axis…

Q: Determine whether the points are collinear. If so, find the line y = c0 + c1x that fits the…

A: The coordinate points are  (−2, 0), (0, 2), (2, 2) We need to determine whether the points are…

Q: Find the equation of the line L that passes throught point P(3, 8, - 1) and Q( – 7, – 5, 8). | r(t)…

A: Given points:              P(3, 8,-1) and Q(-7,-5, 8) Let p¯ and q¯ be the position vectors of P and…

Q: Find an equation for the collection of points for which the distance to (6, 0) is twice the distance…

A:

Q: Consider the line segment joining  A(−3, 3) and B(9, 7). (a) Find an equation, in the form of  Ax +…

A:

Q: Determine the points of intersection of the given line and the three coordinate planes. x =4-2, y…

A:

Q: Show that the following sets of points are collinear and find the equation of line…

A: Three or more points are collinear, if slope of any two pairs of points is same. With three points…

Q: Find the slope-intercept form of the equation of the line that passes through the point P and makes…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the midpoint M of the line segment joining the points P (2, 2) and Q = (-8,-6). M = (.D

A:

Q: Find the midpoint M of the line segment joining the points A = (-3, –8) and B = (5, 4). M = (11) %3D

A: