Find the line that passes through the point P(1,2) and the point of intersection of two the lines L¡: x +2y = 3 and L2: 2x - 3y = -1.

Q: Find the equation of the the line perpendicular to the line (2,3) and 2y= 6-3x

A: Given,           The required equation of the line passes through the point (2, 3) and perpendicular…

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Find the equation of the line which joins the intersection of the lines 2x + 3y - 5z = 0 and x- 2y…

A:

Q: find the equation of the line passing through (2,3) and the point of intersection of the lines 2y-x…

A:

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: Find the equation of the line perpendicular to the line 3x + 4y + 6 = 0 and making intercept -4on…

A:

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Find the y-intercept of the line through two points (1, 8) and (2, 4).

A:

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find the equation of the lines which pass through the point of intersection of the lines.x-3y=4 and…

A: Given that:                      A line passing through points of intersection of :      x-3y=4…

Q: Determine the value of a for which the line through (2, - 3) and (5, a) is perpendicular to the line…

A: Given:  Two points (2, -3)  and  (5, a)To determine the…

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.