On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). everything to the right of the line is shaded. the solutions to the inequality y > −3x + 2 are shaded on the graph. which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)

(2,0)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have

Substitute the value of  x and the value of y of each point in the inequality and then compare the results

case a) (0, 2)

----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

case b) (2,0)

----> is true

so

the point satisfy the inequality

therefore

The point is a solution of the inequality

case c) (1, -2)

----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

case d) (-2, 1)

----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

see the attached figure to better understand the problem

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional