## Question

Find the equation of the straight line, which passes through the point (3, 4) and whose intercept on *y*-axis is twice that on *x*-axis.

### Solution

2*x* + *y* = 10

Let the equation of the line be

According to the question *b* = 2*a*

∴ from (i) equation of line will become

Since line (ii) passes through the point (3, 4)

∴ from (ii), equation of required line will be

2*x* + *y* = 10.

#### SIMILAR QUESTIONS

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 –

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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.

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Find the equation of the straight line upon which the length of perpendicular from origin is units and this perpendicular makes an angle of 75^{o} with the positive direction of *x*-axis.