Question

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3

Answer 1

The linear equality represented by the graph as,$\rm y > \frac{2}{3} x+3$

What is the definition of inequality?

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

The slope of the dashed line is found as;

$\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\\ m = \frac{3-1}{0+3} \\\\ m= \frac{2}{3}$

The slope-intercept form is;

y=mx+c

Substitute the obtained value;

$\rm y = \frac{2}{3}x+3$

We are aware that the given line Is a dashed line, and everything to its left is shadowed.

Hence, the linear equality is represented by the graph as,$\rm y > \frac{2}{3} x+3$

To learn more about inequity, refer to brainly.com/question/20383699

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