Question

* 1 point Important: Look at Example #5 for worked out example and Task Criteria Which graph represents the solution of -9x + 4y s8 ? 1) 8 2 4 6 8 y 2) 2 24 3) 2 4 6 8 4)

Answer 1

Option 2

Step-by-step explanation:

Given the following inequality

`-9x\text{ + 4y }\leq\text{ 8}`

Step 1: Turn the inequality to an equation

The inequality becomes

-9x + 4y = 8

Step 2: find the x and y - intercepts

To find the y - interecpts, make x = 0

-9x + 4y = 8

make x = 0

-9(0) + 4y = 8

0 + 4y = 8

4y = 8

Divide both sides by 4

4y/4 = 8/4

y = 2

When x = 0 y= 2 ------------------- (0, 2)

Find x - intercept

Make y = 0

-9x + 4y = 8

-9x + 4(0) = 8

-9x + 0 = 8

-9x = 8

Divide both sides by -9

-9x / -9 = 8/-9

x = -8/9

x = - 0.888

Therefore, x = -0.888 or -8/9 when y = 0

(-8/9, 0)

Step 3: Graph the points

Therefore, the answer is option 2

The straight line is thick because the inequality sign is is less than or equal to

Also, the inner part of the graph was shaded because the function is less than or equal to the point