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

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

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

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)