Question

this graph shows the solution to which inequality?

Answer 1

Answer:

B. y > 2/3x + 1

Step-by-step explanation:

To find slope we'll use the following formula,

$\frac{y^2-y^1}{x^2-x^1}$

(-3,-1) (3,3)

3 - -1 = 4

3 - -3 = 6

2/3x

The y intercept is 1,

we know this because that's the point the line touches the y axis.

Thus,

the answer is B. y > 1/3x + 1.

Hope this helps :)

Answer 2

The graph of the solution of an inequality is given .

The graph represents the inequality is $y>\frac{2}{3} x+1$

Option B

Given :

The graph of an inequality. To find the inequality for the given graph we use linear equation $y=mx+b$

where m is the slope and b is the y intercept

To find out slope , pick two points from the graph

(-3,-1) and (3,3)

$slope =\frac{y_2-y_2}{x_2-x_1} =\frac{3+1}{3+3} =\frac{2}{3} \\m=\frac{2}{3}$

Now we find out y intercept b

The point where the graph crosses y axis is the y intercept

The graph crosses y axis at 1

so y intercept b=1

The linear equation for the given graph is

$y=\frac{2}{3} x+1$

Now we frame the inequality . we use test point that lies inside shaded region

Lets take (4,5)

$y=\frac{2}{3} x+1\\5=\frac{2}{3} (4)+1\\5=3.6\\5>3.6\\y>\frac{2}{3} x+1$

The inequality for the given graph is

$y>\frac{2}{3} x+1$

Learn more : brainly.com/question/24649632