Select the correct answer from each drop-down menu.
Which inequality is represented by the graph? Which test point holds true for the inequality?
1st drop down: 1. x + 3y is less than or equal to 8, 2. 4x + 3y is greater than or equal to 8, 3. 4x + 3y is less than or equal to 8, 4. 4x + 3y is less than or equal to 12.
2nd drop down: 1. (-1, 4), 2. (0, 3), 3. (1, 4), 4. (2, 1/3).

The graph represents the inequality . The test point holds true for this inequality.

The answer to you question is    a) 3. 4x + 3y ≤ 8   b) (-1, 4)

Step-by-step explanation:

Process

From the graph, get two points

A (-1, 4)  

B (2, 0)

1.- Find the equation of the line

m = (4 - 0) / (-1 -2)

m = -4/3

    y - 0 = -4/3(x - 2)

   3(y - 0) = -4x + 8

   3y - 0 = -4x +8

    4x + 3y = 8

2.- Convert the line to an inequality

     4x + 3y ≤ 8 Because we are interested in the area below the line.

Second part

The only point that satisfies the inequality is (-1, 4)

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb