Question

The equation of the line with a slope of 1/2 and passing through (3.4) is
a)x-2y= -11
b)x-2y= -5
c)x+2y= -11
d)x+2y= --5​

Answer 1

Answer:

( b ).

Step-by-step explanation:

We know,

       Equation of lines are represent / given by using an equation y - y₁ = m( x - x₁ )          { where m is the slope of line and ( x₁ , y₁ ) is any random point on that line }

Here,

     Slope( m ) is 1 / 2

     A random point on that line is ( 3 , 4 ).

Equation :  

    ⇒ y - 4 = ( 1 / 2 )( x - 3 )

    ⇒ 2( y - 4 ) = 1( x - 3 )

    ⇒ 2y - 8 = x - 3

    ⇒ 2y - x - 8 + 3 = 0

    ⇒ 2y - x - 5 = 0

    ⇒ 2y - x = 5

    ⇒ x - 2y = - 5

 Hence the correct option is ( b ).