Find the slope and the equation of the line passing through the points: (a, b) and ( – a, b)
Find the slope and the equation of the line passing through the points: (5, 3) and ( – 5, – 3)
Find the slope and the equation of the line passing through the points: (i) (3, – 2) and ( – 5, – 7)
Find the equation of the line passing through the point P( – 3, 5) and perpendicular to the line passing through the points A(2, 5) and B( – 3, 6)
Find the equation of the line passing through the point P(4, – 5) and parallel to the line joining the points A(3, 7) and B( – 2, 4).
Find the equation of a line which cuts off intercept 5 on the x – axis and makes an angle of 600 with the positive direction of the x – axis.
Find the equation of a line
Find the equation of a line whose slope is 4 and which passes through the point (5, – 7)
Find the equation of a line which is equidistant from the lines x = – 2 and x = 6.
Answer : For the equation of line equidistant from both lines, we will find point through which line passes and is equidistant from both line. As any point lying on x = - 2 line is ( - 2, 0) and on...
Find the equation of a vertical line passing through the point ( – 5, 6).
Answer : Equation of line parallel to y - axis (vertical) is given by x = constant, as x - coordinate is constant for every point lying on line i.e. 6. So, the required equation of line is given as...
Find the equation of a horizontal line passing through the point (4, – 2).
Answer : Equation of line parallel to x - axis (horizontal) is y = constant, as y - coordinate of every point on the line parallel to x - axis is - 2 i.e. constant. Therefore equation of the line...
Find the equation of a line parallel to the x – axis and having intercept – 3 on the y – axis.
Answer: Equation of line parallel to x - axis is given by y = constant, as x - coordinate of every point on the line parallel to y - axis is - 3 i.e. constant. So, the required equation of line is y...
Find the equation of a line parallel to the x – axis at a distance of
(i) 4 units above it
(ii) 5 units below it
Answer : (i) Equation of line parallel to x - axis is given by y = constant, as the y - coordinate of every point on the line parallel to x - axis is 4,i.e. constant. Now the point lies above x -...