The point P(9,-2) is reflected over the y-axis. What are the coordinates of its image?

Q: Plot the points from the table onto the coordinate plane below. y -5 3 -3 -4 -4 -1

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Q: The point P1(5, -2) is 4 units away from a second point P2, whose y coordinate is 1. Locate the…

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Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

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

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Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: The point T(6, 6) is reflected over the line x = -5. What are the coordinates of the resulting…

A: The point T(-6, 6) is one unit left to the reflected axis. Thus, the resulting point should be one…

Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

Q: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (,.

A: A point which is a units to the left of y-axis and b units above the x-axis is given by the…

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: s reflected in the x-axis, then the

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Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: Find the equation that is perpendicular to y = 2x – 1 and passes through the point (2,3). What is…

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Q: find the equation of the straight line that passes through the points P(4,7) and Q(-12,7) in the…

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Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: about the y-axis

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Q: Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and…

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Q: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Find the equation that is perpendicular to y = x +3 and passes through the point (-3, -4). %3D Oy =…

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Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: What’s the y coordinate of point C?

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Q: the coordinates of the new point be? 2-

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Q: Write the equation of a line that is perpendicular to y +9 and that passes through the point (4,-6).…

A: The line is perpendicular to y=-27x+9 and passes through (4,-6)

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: shows the image of (D2 • Ry-axis)(4, -3)?

A: D2∘Ry-axis4,-3 this means 4,-3will be reflected over the y-axis. And then it will be dilated by 2.…

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

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Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: Write the equation of the straight line through (2, −3) with slope 3/4, in the parametric form r =…

A: Line passing through the point 2, -3 with slope 34.

Q: Reflect the point (5, 6) over the y-axis. A (5, 6) B (-5, -6) C (5,-6) D (-5, 6)

A: Consider the given point: 5,6 To mirror it about y-axis, we need to understand that while finding…

Q: How do you compute |PQ| from the coordinates of the points P and Q?

A: Suppose the coordinates of P and Q  are given as, a,b and c,d. Then to compute PQ⇀,   PQ⇀=c-a2+d-b2…

Q: y = 6x?, 1, and y 0, about the -axis.

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Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

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Q: Is the point (−3, 0) on the x-axis or y-axis? How do you know? Explain

A: we have to identify the point (-3, 0) on the x-axis or y-axis

Q: The y coordinate of (-2, 4) is what?

A: Given, -2,4 To find the y - coordinate of the point.

Q: Create the equation of aline that is perpendicular to 2y = 14 + and passes through the point (-2,…

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Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: The rectangular coordinates of a point are given. Plot the point. (3, 0) y 2-

A: Polar coordinate

Q: Find the x- and y-coordinates of the point C.

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

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.