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This graph shows the solution to which inequality (3 3) (-3 -1)

This graph shows the solution to which inequality (3 3) (-3 -1)-example-1

2 Answers

2 votes

Answer:


\boxed{y > (2)/(3) x + 1}

Option B is the correct option.

Explanation:

point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1

point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3

Now, let's find the slope:

Slope ( m ) =
= (y2 - y1)/(x2 - x1)


= (3 - ( - 1))/(3 - ( - 3))


= (3 + 1)/(3 + 3)


= (4)/(6)


= (2)/(3)

At ( 3 , - 1 )

y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis


- 1 = (2)/(3) * ( - 3) + c

Solve for c


- 1 + 2 = c


c = 1

Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.

The answer would be:


y > (2)/(3) x + 1

Hope I helped!

Best regards!

User Dewi Morgan
by
7.5k points
3 votes

Answer:

B

Explanation:

since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer

y>2/3 x +1 is your answer (B)

This graph shows the solution to which inequality (3 3) (-3 -1)-example-1
User Roksana
by
7.5k points

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