Which is the graph of linear inequality 6x 2y 10

Posted By Admin @ September 03, 2022

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:

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


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