which linear inequality is represented by the graph?\n$yleq\frac{1}{3}x - 1$\n$ygeq\frac{1}{3}x - 1$\n$y<3x…
which linear inequality is represented by the graph?\n$yleq\frac{1}{3}x - 1$\n$ygeq\frac{1}{3}x - 1$\n$y<3x - 1$\n$y>3x - 1$
Answer
Answer:
B. $y\geq\frac{1}{3}x - 1$
Explanation:
Step1: Find the slope
The line passes through points $(0, - 1)$ and $(3,0)$. Slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0+1}{3 - 0}=\frac{1}{3}$.
Step2: Find the y - intercept
The line intersects the y - axis at $(0,-1)$, so $b=-1$. The equation of the line is $y=\frac{1}{3}x - 1$.
Step3: Determine the inequality
The line is solid and the shaded region is above the line, so the inequality is $y\geq\frac{1}{3}x - 1$.