Answer:
y ≤ [tex]\frac{2x}{ 3}[/tex] + [tex]\frac{1}{ 5}[/tex].
Step-by-step explanation:
Given : Graph .
To find : Which linear inequality is represented by the graph.
Solution : We have given graph with shaded down and solid line
It has solid line it mean inequality has equal to sign.
It is shaded down it mean inequality y has less than or equal to sign.
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].
Slope = [tex]\frac{2.2- 0.2 }{ 3- 0}[/tex].
Slope = [tex]\frac{2}{ 3}[/tex].
Y intercept = 0.2 = [tex]\frac{2}{ 10}[/tex].
y intercept = [tex]\frac{1}{ 5}[/tex].
Equation of line y = mx + b
Where m = slope , b = y intercept .
Plug the values of slope and y intercept .
y ≤ [tex]\frac{2}{ 3}[/tex] + [tex]\frac{1}{ 5}[/tex].
Therefore, y ≤ [tex]\frac{2x}{ 3}[/tex] + [tex]\frac{1}{ 5}[/tex].
