Question

Which is the graph of linear inequality 6x + 2y > –10? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

we have

$6x+2y> -10$

Isolate the variable y

Subtract $6x$ both sides

$2y> -6x-10$

Divide by $2$ both sides

$y> -3x-5$

The equation of the line of this inequality is

$y=-3x-5$

The slope is negative and is equal to $m=-3$

The y-intercept is the point $(0,-5)$ ----> value of y when the value of x is equal to zero

The x-intercept is the point $(-5/3,0)$ ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

The answer in the attached figure

Answer 2

Since you were unable to attach the options, you will have to look at the attached graph and try to match it to one of the options you have.