Write 4x + y > 18 in slope intercept form

Answer

y>18−4x

Step-by-step explanation:

Subtract 4 x from both sides of the inequality. y > 18 − 4 x Find the slope and the y-intercept for the boundary line.

Slope: − 4 y-intercept: ( 0 , 18 ) Graph a dashed line, then shade the area above the boundary line since y is greater than 18 − 4 x . y > 18 − 4 x

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

answer is  

a.

p = 78

step-by-step explanation: