The coordinate grid below shows points a through k. what point is a solution to the system of inequalities?

y < −2x + 10
y < 1 over 2x − 2

1. i
2. b
3. a
4. f

Option 4. F

Step-by-step explanation:

we have

----> inequality A

The solution of the inequality A is the shaded area below the dashed line

The slope of the dashed line A is negative m=-2        

The y-intercept of the dashed line A is (0,-10)

The x-intercept of the dashed line A is (-5,0)

----> inequality B

The solution of the inequality B is the shaded area below the dashed line  

The slope of the dashed line B is positive m=1/2

The y-intercept of the dashed line B is (0,-2)    

The x-intercept of the dashed line B is (4,0)        

The solution of the system of inequalities is the shaded area below the dashed line A and below the dashed line B

Remember that

If a point is a solution of the system of inequalities, then the point is in the shaded area of the solution set of the system

using a graphing point

Graph the solution of the system of inequalities

see the attached figure

The solutions point are

E,J,F and G

The point H is not a solution because the line B is a dashed line

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