Answer:
infinite solution
Step-by-step explanation:
the y intercept and the slope are the same
Answer:
y = -2x + 8
Step-by-step explanation:
When two points are given, the equation of the line passing through the points is given by:
where: 
and 
are the two points passing through the line.
Here, 
and 
.
Substituting in the formula, we have:
⇒ 
⇒ y - 4 = -2x + 4
⇒ y = -2x + 8 is the required equation of the line.
9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Answer:
m = 3
n = 14
p = 2
Step-by-step explanation:
7/x-3/2=(n-mx)/px
(7*2-3*x/2)/2x=(n-mx)/px
=>(14-3x)/2x = (n-mx)/px
now we will compare
LHS and RHS with terms containing X and terms not containing x
so
14 = n
-3x = -mx
m = 3
2x = px
p = 2
Thus,
values for m, n, and p
are 3,14 and 2 respectively.
X- smaller number
y- larger number
5x=6+y
