What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ? enter your answer in the box.

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

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

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n >    7=-8+n >   7+8 = n > 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15

true? is that what you're asking or do you mean something else?