Two towns are located at points A(2, -2) and B(8, 5). A new school is to be built on a straight road with equation -x + 7y = -4. Find the location of the school so that it is equidistant from the two towns.

Q: On a map, Peach Street is modeled by the equation 4x−y=7. Apple Street is perpendicular to Peach…

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Q: Identify an equation parallel to 5x + y = 2 passes through (2, 3).

A: topic - equation of a line parallel to line and passing through a point

Q: -2x Eliminate C from the equation y = 3x² + Ce

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Q: You're meeting a friend for lunch. You live at (3,8) and your friend lives at (-6,2). Your favorite…

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Q: Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the…

A: Initial amount of water, y intercept =8 inches Slope,m=3inches per day

Q: Find an equation for the line that passes through the points, (−3−6) and (3,3)

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Q: Equation: y = x4 - 2xPoints: 10, 02; 11, 12; 1 - 1, 02

A: We have to plot the points that satisfy the equation y=x4-2x.

Q: x²+y²=10 y+2x=5 Determine the type of intersection. Then, find the point of intersection

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Q: Find all the intercepts for the equation 5x-y=2

A: We have to find all the intercepts for the equation 5x - y = 2.

Q: Find the quadratic y ax²+bx+c that best fits the data points (-2,-43), (-1, 79), (0, −55), (1, −5),…

A: We have to find the quadratic y = ax2 + bx + c that best fits the data points (-2,-43), (-1,79),…

Q: What is the equation of the line perpendicular to y=-3x+8 and goes through the point (-3,6)

A: Given :To determine the equation of the line perpendicular to y=-3x+8 and goes through the point…

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.