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Which inequality is represented by this graph


PLEASE HELP!!!

Which inequality is represented by this graph PLEASE HELP!!!-example-1
User Geekzeus
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2 Answers

2 votes

the answer to this is A


User Gizgok
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3 votes

Answer:

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.

User Grzebyk
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