Question

A line passes through the point (–3,6) and is parallel to the line with the equation y = –4x + 5. What's the equation of the line? Question 3 options: A) y = 1∕4x – 3 B) y = –4x + 6 C) y = –4x – 6 D) y = 4x + 18

Answer 1

C) y =-4x-6

The equation of the line y = -4x-6

Explanation:

Step(i):-

Given point (-3,6)

Given line is y = -4x +5

The equation of the parallel line a x+ b y + k=0

Given straight line is y = -4x+5

4x + y -5=0

Step(ii):-

The equation of the parallel line 4x+ y + k=0 is passes through the point (-3,6)

4x+ y + k=0

4(-3) +6 +k=0

-12 +6 +k = 0

k = 6

Final answer:-

The equation of the parallel line 4x+ y + 6 =0

The equation of the parallel line y = - 4x -6