Find the value of $x$ if the line passing through $(x, - 3)$ and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).

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

-2

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

-3

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

Open in App

Solution

The correct option is A
2

Slope of line joining (7, -1) and (0, 3),
$m = \frac{3 + 1}{0 - 7} = - \frac{4}{7}$
Slope of line joining (x, -3) and (-5, 1)
$= \frac{1 + 3}{- 5 - x} = \frac{4}{- 5 - x}$
slope of parallel lines are equal
$\Rightarrow - \frac{4}{7} = \frac{4}{- 5 - x} \Rightarrow \frac{4}{7} = \frac{4}{5 + x} \Rightarrow 20 + 4 x = 28 \Rightarrow 4 x = 8 \Rightarrow x = 2$

Suggest Corrections

Similar questions

Q. Find the equation of the line passing through (

-

-

5) and parallel to x

-

-

7 = 0

Find the equation of the line passing through the intersection of the line $2 x + y = 5$ and $x + 3 y + 8 = 0$ and parallel to the line $3 x + 4 y = 7.$

Q. Find the value of

x

if the line passing through

(x, - 3)

and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).

Find the value of $x$ if the line passing through $(x, - 3)$ and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).

The equation of the line parallel to the line 2x – 3y = 1 and passing through the middle point of the line segment joining the points (1, 3) and (1, –7), is:

Join BYJU'S Learning Program

Find the value of x if the line passing through (x,−3) and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).

The correct option is A 2 Slope of line joining (7, -1) and (0, 3), m=3+10−7=−47 Slope of line joining (x, -3) and (-5, 1) =1+3−5−x=4−5−x slope of parallel lines are equal ⇒ −47=4−5−x⇒ 47=45+x⇒ 20+4x=28⇒ 4x=8⇒ x=2

Find the value of $x$ if the line passing through $(x, - 3)$ and (-5, 1) is parallel to the line joining (7, -1) and (0, 3).