M = -1/2
(x₁, y₁) = (-2,-4)
Find the equation
y - y₁ = m(x - x₁)
y - (-4) = -1/2 (x - (-2))
y + 4 = -1/2 (x + 2)
2(y + 4) = -1 (x + 2)
2y + 8 = -x - 2
x + 2y = -10
You could try, www.2020tahermath/polygongmlearn.org
Let's solve your system by substitution.
2x−2y=−4;2x+y=11
Rewrite equations:
2x+y=11;2x−2y=−4
Step: Solve2x+y=11for y:
2x+y=11
2x+y+−2x=11+−2x(Add -2x to both sides)
y=−2x+11
Step: Substitute−2x+11foryin2x−2y=−4:
2x−2y=−4
2x−2(−2x+11)=−4
6x−22=−4(Simplify both sides of the equation)
6x−22+22=−4+22(Add 22 to both sides)
6x=18
6x/6 = 18/6
(Divide both sides by 6)
x=3
Step: Substitute3forxiny=−2x+11:
y=−2x+11
y=(−2)(3)+11
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Answer:
The blue area is y is less than or equal to 5
The purple area is y is greater than or equal to x.
The green area is less than or equal to 2.
Step-by-step explanation: The solid lines indicate that y=5, y=x. and x=2 Also the shaded regions would be y<5, y>x and x<2
Sorry my keyboard doesn't have the symbols for <= less than or equal to or greater than or equal to >= so I have to spell them out.