Find the graph of the inequality y< -1/5x+1

We are given a inequality as:

We know that the graph will be a dotted straight line( since the inequality is strict) and it passes through (0,1) and (5,0)

(

since , we could write it as

when y=0 we have:

and when x=0 we have:

)

and the shaded region is towards the origin since it passes the zero-point test

(   i.e. when x=y=0 then,

 0<1 which is a true inequality )

The graph of the inequality is attached to the answer.

i would have to say it is c.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)