Which of the following equations represents a line that is parallel to y=-4x-1and passes through the point, (2, 2)?A. y = -4x- 6B. y = -x+2C. y=-4x +10D. y = -4x+4
Accepted Solution
A:
Answer:Option C : y = -4x+10Step-by-step explanation:Given equation of line is:[tex]y = -4x-1[/tex]Comparing it with standard formy=mx+bm = -4As the slopes of parallel lines are equal, the slop of other line will also be -4.Now, to find the value of b[tex]2 = -4(2) + b\\2 = -8 + b\\2+8=b\\b=10[/tex]Putting the values of b and m in standard form[tex]y=mx+b\\y = (-4)x+10\\y= -4x+10[/tex]Hence,Option C is the correct answer ..