Question

Graph the inequality. y-2x is less than or equal to -3

Answer 1

We are given

y-2x is less than or equal to -3

so, we can write it as

$y-2x\leq -3$

now, we can solve for y

Add 2x on both sides

$y-2x+2x\leq 2x-3$

$y\leq 2x-3$

Firstly, we will draw graph for equality

$y= 2x-3$

We can compare it with slope intercept form of line

$y= mx+b$

where

m is slope

b is y-intercept

$m=2,b=-3$

now, we can change inequality

we can check for origin

At x=0 , y=0:

$0\leq 2*0-3$

$0\leq -3$

we know that this is false

so, region will be shaded opposite of origin side

so, we get graph as