Question

Which is the graph of y ≤ 1 – 3x?

Answer 1

Answer:

Graph 1

Step-by-step explanation:

Given : Inequality $y\leq 1-3x$

To find : Which is the graph of the equation?

Solution :

Inequality $y\leq 1-3x$

We determine the x-intercept and y-intercept,

• For x-intercept, put y=0

$0\leq 1-3x$                  

Add 3x both side,

$3x\leq 1$            

Divide both side by 3,

$x\leq \frac{1}{3}$        

$x\leq 0.33$            

Point is (0.33,0)

• For y-intercept, put x=0

$y\leq 1-3(0)$              

$y\leq 1$                

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.                                              

Answer 2

it is the first one, because y CAN be 1-3x, so the line is solid. then, it is a simple matter of placing it correctly based on the y-intercept, which is one. the shading goes under the line because it is less than or equal to