Which of the following inequalities matches the graph?
a.3x - 2y \geqslant 4
b.3x - 4y \leqslant 2
c.3x - 2y \leqslant 4
d. the correct inequality is not listed

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept → (0, b)

The formula of a slope:

From the graph we have the points (0, -2) and (6, 7).

(0, -2) → b = -2

Calculate the slope:

Put the value of b and m to the equation of the line in the slope-intercept form:

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<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded region below the line

>, ≥ - shaded region above the line

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We have the soli line (≤ or ≥).

Shaded region is above the line (> or ≥)

Therefore we have the

Convert to the standard form:

           multiply both sides by 2

            subtract 3x from both sides

         change the signs

the answer is two. hope this !