Points: (0, 1) and (1, 0)
Slope: -1
Equation: y = -x+1
Distance: square root of 2
End points: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to any of its end points = 5 which is the radius Therefore the Cartesian equation is: (x-6)^2 +(y+1)^2 = 25
It is: y = -2.5x+7
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9y = 10x+7
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
The distance formula, given by ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ), calculates the straight-line distance between two points ((x_1, y_1)) and ((x_2, y_2)) in a Cartesian plane. This formula effectively derives from the Pythagorean theorem, where the horizontal and vertical differences between the points form the two legs of a right triangle. The hypotenuse of this triangle represents the distance between the two points. Thus, using the distance formula geometrically relates to constructing a right triangle connecting the given points.
End points: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to any of its end points = 5 which is the radius Therefore the Cartesian equation is: (x-6)^2 +(y+1)^2 = 25
The equation is y = 2
Points: (13, 17) and (19, 23) Midpoint: (16, 20) Slope of required equation: 5/4 Its equation: 4y = 5x or as y = 1.25x Its distance from (0, 0) to (16, 20) = 4 times sq rt 41
End points: (10, -4) and (2, 2) Midpoint: (6, -1) Distance from (6, -1) to (10, -4) = 5 Distance from (6, -1) to (2, 2) = 5 Equation of the circle: (x-6)^2 +(y+1)^2 = 25
It is: y = -2.5x+7
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9y = 10x+7
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
The distance formula, given by ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ), calculates the straight-line distance between two points ((x_1, y_1)) and ((x_2, y_2)) in a Cartesian plane. This formula effectively derives from the Pythagorean theorem, where the horizontal and vertical differences between the points form the two legs of a right triangle. The hypotenuse of this triangle represents the distance between the two points. Thus, using the distance formula geometrically relates to constructing a right triangle connecting the given points.
It is the straight line equation that can be used to locate coordinates of x and y on the Cartesian plane
If you mean points of (5, 4) and (6, 3) then the slope is -1 and equation is y=-x+9
You get a curve. If you join them along the shortest [Euclidean] distance between them, you get a straight line.
It is a horizontal line in the Cartesian plane, or a vertical line in the complex plane. The reason is that these points satisfy the equation while no others do.