Write the inequality shown in the graph below:

Step 1) Identity two points on the boundary line.

Two such points are (0,7) and (1,5)

Step 2) Find the slope of the line through those two points

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

m = (5-7)/(1-0)

m = -2/1

m = -2

The slope is -2

Step 3) Use the point slope form to get the y = mx+b form

y - y1 = m(x - x1) point slope form

y - 7 = -2(x - 0)

y - 7 = -2x

y = -2x+7

A quicker way is to just note that 7 is the y intercept as visually shown, so b = 7. Which allows us to go from y = mx+b to y = -2x+7

Step 4) The boundary line is y = -2x+7. This is a dashed line so we will use either a less than sign, or a greater than sign. There will be no "or equal to" as part of the inequality sign.

The shaded region is below the dashed boundary line, so we use a less than sign.

Change y = -2x+7 into y < -2x+7

Step 5) Change into standard form (optional)

y < -2x+7

2x+y < 7 ... add 2x to both sides

The answer will depend on if you want slope intercept form or standard form.

hope this .

r3t40