Agraph is shown below: dotted line joining ordered pair negative 1, negative 2 and 5, 0 and the region above this line is shaded which of the following inequalities is best represented by this graph? x − 3y > 5 x − 3y < 5 x − 2y > 5 x − 2y < 5

Alrighty
might be helpful to draw or visualize that graph

first find equation of the line that is dotted
we are given points (-1,-2) and (5,0)
the slope between them is hmm
slope between (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2)
for (-1,-2) and (5,0), the slope is (-2-0)/(-1-5)=-2/-6=2/6=1/3

slope intercept form
y=mx+b
m=slope
so slope of 1/3
y=1/3x+b
we gots the opint (5,0)
x=5 and y=0
0=1/3(5)+b
0=5/3+b
b=-5/3

y=1/3x-5/3
now get into standard form
minus y both sides and add 5/3 and times 3
5=x-3y
x-3y=5
alrighty, either of the first  2 equations

ok, so pick a point in the reigon above 5=x-3y
let's pick (0,0)
it should make it true because it is the shaded area

so
x-3y>5?
0-3(0)>5
0>5
nope

so has to be the other one
0-3(0)<5?
0<5
true

so it is x-3y<5

 

Step-by-step explanation:

Step 1

Find the slope of the line

we have

The formula to calculate the slope between two points is equal to

substitute

Step 2

Find the equation of the line

The equation of the line in the form slope-intercept is equal to

where

m is the slope

b is the y-coordinate of the y-intercept

we have

substitute

 

 

The solution is the shaded area  above the dotted line

so

the inequality is

 

see the attached figure to better understand the problem

Idon’t understand sorry

Yeah she/ he needs look how long that is man