Question

NEED ASAP


Which linear inequality is represented by the graph?

y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1

Answer 1

The slope is 1/3. We know this because the x value increases by 3 each time the y value increases by 1. Slope is always rise over run. It is more than or equal to because the shaded part is above the line.
Answer:B

Answer 2

Answer:

$y\geq \frac{1}{3}x -1$

Step-by-step explanation:

To find linear inequality, first we find the equation of the line.

LEts pick two points (3,0)  and (0,-1)

To get equation of a line $y=mx+b$, use slope formula to find slope m

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

y intercept is (0,-1) . so b=-1

The equation of the line becomes

$y=\frac{1}{3}x -1$

now we look at the shaded region.

the graph is shaded at the top and also we have solid line . so we use >= symbol

$y\geq \frac{1}{3}x -1$