Which linear inequality is represented by the graph? y ≤ One-halfx + 2
y ≥ One-halfx + 2
y ≤ One-thirdx + 2
y ≥ One-thirdx + 2

help please !!

Option A

Step-by-step explanation:

Consider the equation of this line, in slope intercept form;

The line is not dotted, which means that if we were to represent the equation of this line as an inequality, we would substitute a sign in replacement of the = sign;

Solution ⇒ Option A

a

Step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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)