The equations representing the given graph is

7 x + 2 y = 11

;

y - 2 x = 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x + 7 y = 11

;

5 x + (35 y / 2) = 25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x - 7 y = 10

;

8 y - 6 x = 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x - 4 y = 1

;

3 x - 4 y x + 2 = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $3 x - 4 y = 1$ ; $3 x - 4 y x + 2 = 0$
Given first line 1 contains points (2,2) & (-2,-1).
The equation of line passing through points $(x_{1}, y_{1}) & (x_{2}, y_{2})$ is
$y - y_{2} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{2})$
So, equation 1 is
$(y - 2) = \frac{2 - (- 1)}{2 - (- 2)} (x - 2)$
$(y - 2) = \frac{3}{4} (x - 2)$
$3 x - 6 = 4 (y - 2)$
$3 x - 6 = 4 y - 8$
$3 x - 4 y + 2 = 0$
Similarly , 2 line passing through,
$(3, 2), (- 1, - 1), (- 4, - 5)$
Let $(x_{1}, y_{1}), (3, 2) & (x_{2}, y_{2}), (- 1, - 1)$
$y - 2 = \frac{2 - (- 1)}{3 - (- 1)} (x - 3)$
$y - 2 = \frac{3}{4} (x - 3)$
$3 x - 4 y - 9 + 8 = 0$
$3 x - 4 y = 1$

Suggest Corrections

Similar questions

2 x + 7 y - 5 = 0

- 3 x + 8 y = - 11

4 x y + 5 x^{2}

6 x y - 2 x^{2}

3 x + y

3 x - 7 y

3 x^{2} y - 4

6 x y^{2} + 8

Which of the pairs given in options will add up to give $9 x + 5 y$ ?

Join BYJU'S Learning Program