From the choices given below, choose the equation whose graph is given in Fig. 13.14 (i) y = x +2 (ii) y = x -2 (iii) y =- x +2 (iv) x +2 y =6. [Hint: Clearly, (2,0) and (-1,3) satisfy the equation y = - x +2]

Question

Philoid · Accepted Answer

The line passes through (-1, 3) and (2, 0)

(i) y = x + 2

⇒ 3 = -1 + 2

⇒ 3 = 1 which is not true

(ii) y = x – 2

⇒ 3 = -1 – 2

⇒ 3 = -3 which is not true

(iii) y = -x + 2

⇒ 3 = 1 + 2

⇒ 3 = 3

Also, for (2, 0)

⇒ 0 = -2 + 2

⇒ 0 = 0

Thus, y = -x + 2 is the equation

(iv) x + 2y = 6

⇒ -1 + 6 = 6

⇒ 5 = 6 which is not true

From the choices given below, choose the equation whose graph is given in Fig. 13.14(i) y=x+2(ii) y=x-2(iii) y=-x+2(iv) x+2y=6.[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]

From the choices given below, choose the equation whose graph is given in Fig. 13.14
(i) y=x+2

(ii) y=x-2

(iii) y=-x+2

(iv) x+2y=6.

[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]