Mathematics: Which is the graph of y ≤ 1 – 3x?

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Which is the graph of y ≤ 1 – 3x? - id137556432, SarahBelle5663

chevalieriiim006

02.02.2022

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.

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