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

Question

asked Nov 25, 2019 29.1k views

1 Answer

Vinoth Babu · Answer 1 · 2019-11-30T04:59:45+0000

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