Question

What is the equation of a line perpendicular to y=1/4x−3 and passes through the point (−2, 4)?

Answer 1

Answer:

• y = -4x - 4

Step-by-step explanation:

Given line

• y = 1/4x - 3

Perpendicular line has a slope that is negative reciprocal to a given

• y = - 4x + b is the equation,

Finding the value of b using the point (-2, 4)

• 4 = -4*(-2) + b
• 4 = 8 + b
• b = -4

So the line is:

• y = -4x - 4

Answer 2

Answer:

y = -4x - 4

Step-by-step explanation:

The line of a perpendicular line is the opposite reciprocal of the original line.

1/4 -> -4/1 -> -4

Now that we have the new slope, we can find the new y-intercept.

y = -4x + b

4 = -4(-2) + b

4 = 8 + b

-4 = b

y = -4x - 4

Best of Luck!