Question

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2

Answer 1

The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

The line is passes through the following points;

(x₁,y₁) to (x₂,y₂)

(-3,-7) to (0,2)

The equation is found as;

$\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2$

The graph because the shading is above the line and does not include the line.

The linear inequality is represented by the graph will be, y > 3x + 2

Hence, option B is correct.

To learn more about linear inequality, refer to the link;

https://brainly.com/question/11897796

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