## Question

If a line has a slope 1/2 and cuts off along the positive *y*-axis of length 5/2 find the equation of the line.

### Solution

*x* – 2*y* + 5 = 0

i.e., 2*y* = *x* + 5

i.e., *x* – 2*y* + 5 = 0

#### SIMILAR QUESTIONS

If the area of the rhombus enclosed by the lines be 2 square units, then

If a^{2} + b^{2} – c^{2} – 2ab = 0 then the point of concurrency of family of straight lines ax + by + c = 0lies on the line –

All chords of the curve 3x^{2} – y^{2} –2x + 4y = 0 that subtends a right angle at the origin, pass through a fixed point whose co-ordinate is –

In a triangle ABC, and point A lies on line y = 2x + 3 where Area of is such that [âˆ†] = 5. Possible co-ordinates of âˆ† is/are –

then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –

Find the area of the quadrilateral with vertices (3, 3), (1, 4), (–2, 1), (2, –3).

A straight line segment of length *‘p’* moves with its ends on two mutually perpendicular lines. find the locus of the point which divides the line in the ratio 1:2.

Find the acute angle between the two lines with slopes 1/5 and 3/2.

If a line has a slope = ½ and passes through (–1, 2); find its equation.

If a line passes through two points (1, 5) and (3, 7) find its equation.