Which system is represented by the graph? a. y > 2x x + 2y ≤ –8 b. y ≥ 2x x + 2y < –8 c. y < 2x x + 2y ≥ –8 d. y ≤ 2x x + 2y > –8

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

correct choice is A.

what is the original number? you forgot to add it.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is