Question

Lines m and n are parallel Line m is described by the equation y = 40 +2. Line n contains the point (1, -3). Which of the following is an equation for linen?
A Oy-3= (2+1)
B. Oy+ 3 = 4(x - 1)
M
cOy-3 = 4(2+1)
DOy+3 = (- 1)

Answer 1

Answer:

B)Oy+ 3 = 4(x - 1)

Equation of the straight line   y +3 = 4( x-1)

Step-by-step explanation:

Explanation:-

Step(i):-

Given that the equation   y = 4x +2

and given that the point (1,-3)

The equation of the parallel line to the given line

                       ax +by +k=0

                       4x-y +k=0

This line is passing through the point (1,-3)

                  ⇒ 4(1) -(-3) +k=0

                  ⇒   4+3 +k=0

                          7 +k=0

                             k =-7

The equation of the Parallel line  4x-y -7 = 0

Step(ii):-

Given that the slope m = 4 and the point (1,-3)

Equation of the straight line

             y - y₁ = m(x-x₁)

             y -(-3) = 4( x-1)

            y +3 = 4( x-1)