A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates $A(1,-1)$A(1,−1)​ , $B\left(1,-2\right)$B(1,−2)​ , and  $C(2,-1)$C(2,−1)​ represent House A, House B, and House C. The planner decides to place a playground centered at the origin, and moves the houses to make space. House A is now located at $A'(3,-4)$A′(3,−4)​ . What are the new coordinates of House B and House C when each house is moved using the same translation?

Q: Find an equation for the line that passes through the points (-5,-4) and (-1, 2). D=0

A: Line passes through  (-5,-4) and (-1,2)  (x1,y1) and (x2,y2)

Q: Graph the line y y%3D +2 onto the coordinate plane below.

A:

Q: Graph the iıne. y= 3x-8 Ty 8- 6- 4 2- -8 -6 -2 2. -2- 4- -64 8 图 X

A:

Q: Explain what it means for a coordinate system to be right-handed and what it means for a coordinate…

A: A coordinate system is an imaginary set of axes where location of point is specified. We can locate…

Q: Draw the row and column pictures for the equations x - 2y = 0, x + y = 6.

A: The objective is to draw the row and column pictures of the given equations x - 2y = 0 ...(i), x + y…

Q: The town of Santa Ignacia is located about 20km west and 16km north of Tarlac National High School.…

A: The town of Santa Ignacia is located about 20 km west and 16 km north of Tarlac National High…

Q: basketballs. Assume that the number of defective basketballs produced is related by a linear…

A: Let us assume x is the total number of basket balls. And y be the number of defective basket balls.…

Q: Draw the right bisector of side AB and find its equation. The coordinates are A (-5 , 5), B (3 , 3)

A: The equation of right bisector is  y=4x+8

Q: (5, 0) (-2,-5)

A:

Q: Write an equation in the form y=mx+b for the following table: x y -6 -1 -4 3 -2 7 0 11 2 15 4 19 6…

A: The regression equation is y=mx+b.

Q: Identify the vertex of the graph of y = 2x² + 12x – 5. а. (-4, -21) b. (-3, -23) с. (3, 49) (4. 75)

A:

Q: Graph the line through (-2,-7), m=6

A: First plot (-2, -7). Then for m=6. Go 6 unit up and 1 unit right. (-2+1, -7+6)=(-1,-1)

Q: Plot the given point(-1, 4) in a rectangular coordinate system.

A: Given: Point (-1, 4)

Q: find the equation of the graph

A: We see that for values of x=0, y=0.

Q: (12 Find the function Y=0 +bx+C Whose graph.contains the Points 0,D, 63,-9, 6,27

A: To find the function y=ax2+bx+c whose graph contains the points (1,1), (-3,-9), (3,27). Solution: We…

Q: what are the

A: Given: At a local mall , the arcade is located halfway between the food court and the movie theater.…

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: A line contains the points (6, −3) and (3, 3). Find the coordinates of three other points on the…

A:

Q: e whether the given point is a (1,0);y=2x-3

A: Given,An equation .Aim: To show whether  is a point of the equation .Concept used:To determine if a…

Q: Graph the the lines on the grid Y=-3/7×+5 Y=-3x-3

A: Given data; The equation of the first line is Y=-3/7 x+5. The equation of the second line is…

Q: Find the equation of perpendicular bisector of the line s oining the pointsA(2, 3) and B(6, −5).

A: Provided that    A=(x,y)=(2,3) and B=(x',y')=(6,-5). The slope of AB is given by s, which can be…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.