Find the equations of the translation that sends point A(3, -4) to point B(-3, 4). a) x' = x + 6 , y' = y - 8 b) x' = x + 6 , y' = y + 8 c) x' = x - 6 , y' = y - 8 d) x' = x - 6 , y' = y + 8

Q: 10. Find the equation of the line that is parallel to the line y= x+5and passes through the point…

A: Let the equation of the line be - y = mx+cwhere,m = slope of the equationc = interceptGiven…

Q: 22) Does the point D(7.-1, 8) lie on the line with symmetric equations - 4 2-69 *3=1+2=20? Explain.

A: To check if the point  D(7, -1, 8)  lies on the line with symmetric equations 3x−4​=1y+2​=2z−6​, we…

Q: Quadrilateral PQRS has points P = (-3,3), Q= (1,-4), R= (5,3), and S= (2,14). Quadrilateral P'Q'R'S'…

A: Reflection of a point (x, y) about x-axis is (x, -y), in this problem the given points follows the…

Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: 1C. Triangle XYZ has cordinates X(-1, 3), (2, 5) and Z(-2,-3). Determine X Y Z' and X" Y" Z" if…

A: If the point: x, y is translated by the vector: ab, then the transformed point is x+a, y+b.

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: 4) (10) Follow the result of above question, find the distance of the point (3,-2,1) to the line 2x…

A: See the attachment

Q: Triangle XYZ is drawn with vertices X(1, 2), Y(2, 5), Z(3, 4). Determine the translation direction…

A: Vertices of a triangle XYZ: X=1, 2Y=2, 5Z=3, 4

Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

A:

Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

A:

Q: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: 9) Find the equation of the straight line passing through the point of intersection of the two lines…

A:

Q: 3,10 on coordinate plane

A:

Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6

A: Use distance between two points

Q: Let /, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-5) Let lz be the line…

A: To find the distance between two given lines we need to consider general point on each line. Minimum…

Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

Q: A translation is used to map 4(-5, 13) to 4'(2,9). If the same translation is used to map B(4,-2).…

A:

Q: winting a TraniStation UIC A triangle has coordinates F(-2, 3), G(-4, 1), and H(-2,-2). The triangle…

A:

Q: 3. P'(-5.-3) is the image of P after a transla along the rule (x,y) → (x+2, y-1). What the…

A: P'=(-5,-3)translation rule is (x,y)→(x+2,y-1)let point P is (x,y)

Q: 39) (x-1)+(y-3)² = 4 A) Center: (-3, 1) Radius: 2 B) Center: (2, -3) Radius: 4 C) Center: (1, 3)…

A: The general equation of a circle is x-h2+y-k2=r2, where r=radius of the circle h=x coordinate of the…

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

A:

Q: 9) Find the equation for the line in space passing through the point (-2,2,-2) and parallel to the…

A: Let two points are so equation of line passing through above two points is given as follows

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

Q: to the coordinate plane, the point (2, 3) is translated to the point 4"(3, -1). Under the same…

A:

Q: A line passes through points A(-2,3) and B(5,2) Verify if points C(26,-1) and D(12,3) are on the…

A: Step 1:To verify if points C(26,-1) and D(12,3) are on the line passing through points A(-2,3) and…