Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations 
and 
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.
The answer is false. They are the same
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through theses points will be:
m=(y₂-y₁)/(x₂-x₁)
We have two points A(-2,-2) and B(2,-2); therefore the slope will be:
m=(-2+2)/(2+2)=0/4=0
slope-intercept form:
y=mx +b
m=slope
b=y-intercept =-2
y=0x-2
y=-2
Answer: The slope of diagonal AB is 0 and its equation is y=-2
Graphing is used when you have paper
I will not graph this equation because it takes time, sorry
but I will solve
subsitute y=x^2+4x+1
subsitute x+1 for y
x+1=x^2+4x+1
subtract x from bot sides
1=x^2+3x+1
subtract 1 from both sides
0=x^2+3x
factor
0=(x)(x+3)
if xy=0 then assume that x and y=0
so
set them to zero
x=0
x+3=0
subtract 3 from both sides
x=-3
subsitue
y=x+1
y=0+1
y=1
y=-3+1
y=-2
so the answers could be
(x,y)
(-3,-2)
(0,1)
