Answer :

Answer:

Graph 1

Step-by-step explanation:

Given : Inequality [tex]y\leq 1-3x[/tex]

To find : Which is the graph of the equation?

Solution :

Inequality [tex]y\leq 1-3x[/tex]

We determine the x-intercept and y-intercept,

  • For x-intercept, put y=0

[tex]0\leq 1-3x[/tex]                  

Add 3x both side,

[tex]3x\leq 1[/tex]            

Divide both side by 3,

[tex]x\leq \frac{1}{3}[/tex]        

[tex]x\leq 0.33[/tex]            

Point is (0.33,0)

  • For y-intercept, put x=0

[tex]y\leq 1-3(0)[/tex]              

[tex]y\leq 1[/tex]                

Point is (0,1)

As there is equal and less than so there is a complete line not dotted line.

The graph is passing through the points (0.33,0) and (0,1) and drawn LHS of the graph.

Therefore, The correct option is graph 1.

Refer the attached figure below.                                              

View image pinquancaro
View image pinquancaro
abidemiokin

The inequality sign is less than and equal to, the line will be a solid line and shaded below the graph. The required graph is graph A

In order to get the required graph of y ≤ 1 – 3x, we need to get the x and y-intercept of the equation

Given the equation y ≤ 1 – 3x?

The x-intercept occurs at y = 0

0 = 1 - 3x

-1 = -3x

x = 1/3

The x-intercept will be at (1/3, 0)

Similarly for the y-intercept

The y-intercept occurs at x = 0

y = 1 - 3(0)

y = 1

The y-intercept will be at (0, 1)

We need to find the graph with the intercept first. We can see that all the graph has the gotten intercept.

Since the inequality sign is less than and equal to, the line will be a solid line and shaded below the graph. The required graph is graph A

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