The equation is y = 2
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9y = 10x+7
End points: (8, 7) and (2, -3) Midpoint: (5, 2) which is the center of the circle Radius: square root of 34 Equation of the circle: (x-5)^2 +(y-2)^2 = 34
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
End points: (-2, 4) and (-4, 8) Midpoint: (-3, 6) Slope: -2 Perpendicular slope: 1/2 Perpendicular bisector equation: y -6 = 1/2(x--3) => y = 0.5x+7.5
The Cartesian plane has a horizontal number line which is the x axis and a vertical number line which is the y axis both axes intercept each other at right angles at the pount of origin whose coordinates are (0, 0) Points are plotted on the plane having numerical values for (x, y) and that x is plotted first followed by y
Points: (-2, 3) and (1, -1) Midpoint: (-0.5, 1) Slope: -4/3 Perpendicular slope: 4/3 Equation: 3y = -4x+1 Perpendicular bisector equation: 4y = 3x+5.5
11
Points: (s, 2s) and (3s, 8s) Midpoint: (2s, 5s) Slope: 3 Perpendicular slope: -1/3 Perpendicular equation: y -5s = -1/3(x -2s) => 3y = -x +17s Perpendicular bisector equation in its general form: x +3y -17s = 0
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 a straight line when plotted on the Cartesian plane whose equation is y=2
It has centre (0, 0) and radius 5.
All points whose x-coordinates equal their y-coordinates lie on the line described by the equation (y = x). This line passes through the origin (0, 0) and extends diagonally through the first and third quadrants of the Cartesian plane. Every point on this line has coordinates of the form ((a, a)), where (a) is any real number.