Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. each inequality and number line represents the solution for the given situation

 x ≥ 6

Step-by-step explanation:

12 less than 5 times a number ≥ 6 more than twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

-2x  +12  -2x +12

3x         ≥       18

÷3                ÷3

   x         ≥       6

Graph: 6 →   the dot is closed (filled in) since it is "equal to"

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4