Q8 of 112 Page 163

Find the equation of the straight line passing through the points

(i) (–2, 5) and (3, 6) (ii) (0, –6) and (–8, 2)

The equation of the line passing through the two given (x1, y1) and (x2,y2)points is given by form



(i) Here, (–2,5) and (3,6) are tow given points


The required equation is



⇒


⇒ 5y –25 = x + 2


⇒ x–5y + 27 = 0


(ii) Here two points are (0, –6) and (–8, 2)


The equation is given by



⇒


⇒ –8y – 48 = 8x


⇒ x + y + 6 = 0 (dividing the whole equation by 8)


More from this chapter

All 112 →
6

Find the equation of the straight line whose

(i) slope is –4 and passing through (1, 2) (ii) slope is and passing through (5, –4)

 7

Find the equation of the straight line which passes through the midpoint of the line segment joining (4, 2) and (3, 1) whose angle of inclination is 30°.

 9

Find the equation of the median from the vertex R in a ΔPQR with vertices at

P(1, –3), Q(–2, 5) and R(–3, 4).

 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)