Answered

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Which linear inequality is represented by the graph?
6-
-5
y s 2x + 4
oys 2x + 3
O y2+x+3
-3
O yz 2x + 3

Please help!!

Which Linear Inequality Is Represented By The Graph 6 5 Y S 2x 4 Oys 2x 3 O Y2x3 3 O Yz 2x 3 Please Help class=

Sagot :

rspill6

Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

View image rspill6
MrRoyal

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

  • The inequality has a closed line, and the bottom part is shaded
  • The slope of the line is 1/2
  • The y-intercept is 3

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

Read more about linear inequality at:

https://brainly.com/question/371134

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