Question

What is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4)?

y equals negative one-fourth times x minus 2
y equals negative one-fourth times x plus 7
y = 4x − 36
y = 4x + 24

Answer 1

1st: find the slope of the line that is perpendicular to y = 4x + 6 (which is m = -1/4)
2nd: substitute m = -1/4 x = 8 into y = mx + b and y = -4
3rd: Calculate it -4 = -1/4 x 8 + b
b = - 2
4th: substitute m = - 1/4 and b = -2 into y = mx + b
The final answer would be: y = -x/4 -2

Step-by-ste1p explanation: