Hellp mee because i don't know how to do this thing i offer 100 for who has the right answer

y = 1/4x - 3

Step-by-step explanation:

Rise/run  =  1/4

y intercept =  -3

y = 1/4x - 3

Find two points on the line to use.

I'll use ( -8,-5) and (0,-3)

Slope = change in Y over change in x:

Slope = (-3 - -5) / 0- -8 = 2/8 = 1/4

Now use the point slope form y-y1 = m(x-x1)

y - (-5) = 1/4(x-(-8))

y +5 = 1/4(x +8)

Now write in slope intercept form y = mx+b

Simplify 1/4(x+8) = x/4 +2

y +5 = x/4 +2

Simplify to get y = 1/4x -3

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true