Question

Which inequality is represented by this graph


PLEASE HELP!!!

Answer 1

the answer to this is A

Answer 2

Option A. is the correct option.

Explanation:

First we will find the equation of a line passing through two points (0, 1) and (3, 0)

Since equation of a line is represented by y = mx + c

where m = slope of the line

c = y - intercept

For slope
`m=(y-y')/(x-x')`

`m=(1-0)/(0-3)=-(1)/(3)`

So equation becomes as
`y=(-(1)/(3))(x)+c`

Since this line passes through (0, 1) so

1 = m(0) + c

c = 1

Now we put the value c = 1 in the equation

`y=(-(1)/(3))(x)+1`

Since line in the graph is a solid line (not in dotted) and the colored area is below the line, inequality will be "less than equal to".

And the inequality will be
`y\leq (-(1)/(3))x+1`

Therefore Option A. is the answer.