Question

identifying an inequality and solution from its graph
which inequality is represented by the graph?
tion to the inequality?
y > 2x + (3/4)
y < 2x + (3/4)
y > (1/2)x + (3/4)
y < (1/2)x + (3/4)

Explanation:

Step1: Find line slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{4.76-0.76}{2-0}=\frac{4}{2}=2$

Step2: Get line equation

Use $y=mx+b$, $b=0.76=\frac{3}{4}$ (approx)
$y=2x+\frac{3}{4}$

Step3: Determine inequality sign

Shaded area is below dashed line, so $y < 2x+\frac{3}{4}$

Answer:

$y < 2x + \frac{3}{4}$