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2 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Effectus [21]2 years ago

7 0

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1) and (3,0)

The slope can be obtained as follows,

m = 0-(-1)

3-0

= 1/3

The linear equation with slope and intercept is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y in equation to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

= 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

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