which linear inequality is represented by the graph?\no y<3x + 2\no y>3x + 2\no y<\\frac{1}{3}x + 2\no…
which linear inequality is represented by the graph?\no y<3x + 2\no y>3x + 2\no y<\\frac{1}{3}x + 2\no y>\\frac{1}{3}x + 2
Answer
Explanation:
Step1: Find the slope of the line
The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using points $(0,2)$ and $(-3,-7)$, we have $m=\frac{2-(-7)}{0 - (-3)}=\frac{9}{3}=3$.
Step2: Determine the y - intercept
The line crosses the y - axis at the point $(0,2)$, so the y - intercept $b = 2$. The equation of the line is $y=3x + 2$.
Step3: Determine the inequality
The line is dashed, and the shaded region is below the line. So the inequality is $y<3x + 2$.
Answer:
$y<3x + 2$