Q16 of 112 Page 163

Find the equation of the line passing through the point (9, –1) and having its x–intercept thrice as its y–intercept.

Let the x intercept be ‘a’. it is given that x intercept is thrice the y intercept


⇒ y intercept =


The equation of the line using the intercept form is



Substituting b = a/3 in the equation



⇒


⇒ x + 3y = a


the point (9,–1) lies on the equation of the line thus it must satisfies it


⇒ 9 + 3(–1) = a


⇒ a = 6


Hence the equation of the line is


x + 3y –6 = 0


More from this chapter

All 112 →
14

Find the equation of the straight lines passing through the point (2, 2) and the sum of the intercepts is 9.

 15

Find the equation of the straight line passing through the point (5, –3) and whose intercepts on the axes are equal in magnitude but opposite in sign.

 17

A straight line cuts the coordinate axes at A and B. If the midpoint of AB is (3, 2), then

find the equation of AB.

 18

Find the equation of the line passing through (22, –6) and having intercept on x–axis exceeds the intercept on y–axis by 5.