What is the solution to the equation 5x + 2y = -9 a.(2,-4) ,2) ,5) d.(1,-3)

In order to find which one of the given points is a solution to the equation, we need to plug each point in the equation and check which one fits in .

The equation is :

5x+2y=-9

a.(2,-4)

5x+2y=-9

LHS: 5x+2y

Plugging (2,-4) in this,

5(2) +2(-4) = 10-8 =2

RHS : -9

LHS ≠RHS

So (2,-4) is not the solution.

b.(-1,2)

5x+2y=-9

LHS: 5x+2y

Plugging (-1,2) in this,

5(-1) +2(2) = -5+4 =-1

RHS : -9

LHS ≠RHS

So (-1,2) is not the solution.

c.(-2,5)

5x+2y=-9

LHS: 5x+2y

Plugging (-2,5) in this,

5(-2) +2(5) = -10+10 =0

RHS : -9

LHS ≠RHS

So (-2,5) is not the solution.

d.(1,-3)

5x+2y=-9

LHS: 5x+2y

Plugging (1,-3) in this,

5(1) +2(-3) = 5-6=-1

RHS : -9

LHS ≠RHS

So (1,-3) is not the solution.

None of the given options is a solution to the given equation.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2