Q12 of 112 Page 163

Find the x and y intercepts of the straight line

(i) 5x + 3y – 15 = 0 (ii) 2x – y + 16 = 0


(iii) 3x + 10y + 4 = 0

The equation of the straight line whose x and y intercepts are given as ‘a’ and ‘b’ respectively, is of the form



(i) The given equation is


5x + 3y – 15 = 0


⇒ 5x + 3y = 15


⇒


⇒


Hence the x intercept is 3 and y intercept is 5


(ii) The given equation is


2x – y + 16 = 0


⇒ 2x– y = –16


⇒


⇒


Hence the x intercept is –8 and y intercept is 16.


(iii) Given equation is


3x + 10y + 4 = 0


⇒ 3x + 10y = –4


⇒


⇒


⇒


Hence the x intercept is and y intercept is


More from this chapter

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10

By using the concept of the equation of the straight line, prove that the given three points are collinear.

(i) (4, 2), (7, 5) and (9, 7)


(ii) (1, 4), (3, –2) and (–3, 16)

 11

Find the equation of the straight line whose x and y–intercepts on the axes are given by

(i) 2 and 3 (ii)


(iii)

13

Find the equation of the straight line passing through the point (3, 4) and has intercepts which are in the ratio 3 : 2.

 14

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