Advertisements
Advertisements
Question
Find the equation of a line whose intercepts on the x and y axes are given below
4, – 6
Solution
x intercept (a) = 4, y intercept (b) = – 6
Equation of a line is `x/"a" + y/"b"` = 1
`x/4 + y/(-6)` = 1
⇒ `x/4 - y/6` = 1 ...(L.C.M. of 4 and 6 is 12)
3x – 2y = 12
3x – 2y – 12 = 0
The equation of a line is 3x – 2y – 12 = 0
APPEARS IN
RELATED QUESTIONS
Find the equation of a straight line passing through the mid-point of a line segment joining the points (1, – 5), (4, 2) and parallel to Y-axis
The equation of a straight line is 2(x – y) + 5 = 0. Find its slope, inclination and intercept on the Y-axis
Find the slope and y intercept of `sqrt(3x) + (1 - sqrt(3))y` = 3
Find the value of ‘a’, if the line through (– 2, 3) and (8, 5) is perpendicular to y = ax + 2
Find the equation of a line through the given pair of point `(2,2/3)` and `((-1)/2, -2)`
A cat is located at the point(– 6, – 4) in xy plane. A bottle of milk is kept at (5, 11). The cat wish to consume the milk travelling through shortest possible distance. Find the equation of the path it needs to take its milk.
Find the equation of a line whose intercepts on the x and y axes are given below
`- 5, 3/4`
If A is a point on the Y-axis whose ordinate is 8 and B is a point on the X-axis whose abscissae is 5 then the equation of the line AB is
(2, 1) is the point of intersection of two lines
Find the equations of the lines, whose sum and product of intercepts are 1 and – 6 respectively