5. Consider two distinct points [b1 in the and plane. Explain why the solutions of the equation det x1 a1 bi [x2 a2 b2 = 0 form a line and why this line goes through the two a1 points and a2 b2

Q: 1.) Find the slope and angle of the line joining (2, 2) and (22) that the three points (x,-3), (9,…

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Find the equation of the line in slope intercept form parallel to 5æ + 6y = – 2 and goes through the…

A: NOTE: Refresh your page if you can't see any equations. . solve for y here coefficient of x is…

Q: 7) Think of two points with coordinates (0, 32) and (100, 212) and determine the equation of the…

A: GIVEN DATA : Coordinates (0,32) & 100, 212       TO FIND : Equation of line passing through…

Q: Prove that the equation 2x²+3xy - 2y-x+3y -1= 0 represents a pair of perpendicular lines.

A: Given that: 2x2+3xy-2y2-x+3y-1=0

Q: aw Find when u = 0, v = 0 if w = x² + ₁ x Əv Əw Əv I 0 x-0 x=3u-6v + 1, y = 3u+v-2. (Simplify your…

A: Here, w is a function of x and y. Again, x and y are functions of u and v. By chain rule, we have,…

Q: From the given equation, what is the y-coordinate and x-coordinate þf the point of intersection of…

A: Solution

Q: Write an equation in slope-intercept form(y=mx+b), that perpendicular to y= 2x - 4 that passes…

A: Given that a line equation y = 2x - 4. And we know if two lines are perpendicular then there slope…

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

A:

Q: point section of pair of straight lines given by the equation x2 - -y2 – 3x + 3y = 0. Hence find the…

A:

Q: What is an equation of the line perpendicular to y = -3x + 3 that contains (7,4)? O Answer: y (1/3)x…

A: SOLUTION: y = -3x + 3

Q: Find the equation in general form of a line perpendicular to 2x + 3y – 9 = 0 that passes through the…

A: The equation of a line is given by 2x+3y-9 = 0                     ........1 The point is x0, y0 =…

Q: 5. Find the equation of the line passing through (2, 5) and with y - intercept of 2.

A:

Q: 6. a. Sketch the circle x + y = 25 and the line y = 2x – 5. b. Solve the two equations…

A: The graph of x2+y2=25  &  y=2x-5 is,

Q: Is point A(2, -2, -5) on the line with symmetrical equations (Shown in the image). Justify your…

A: We have to find whether point A lies on given line or not?

Q: 21. At which point do the graphs of the following equations intersect each other? 2x - y+ 4 0 I +y =…

A:

Q: 1. a) Identify the following equations as linear, quadratic or neither. i) y = -x? - 4x + 2 ii) y =…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: method to minimize 7. Use graphical C = 30x + 35y 30x+34 30x +30y 2 96o, 5x tloy 2220, 1,420 Choose…

A: This is a simple linear programming problem, under the topic of optimal utilization of resources.…

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.