Sorry another question! 1. 6,9,12,15,18
common difference:

2. 7,7.5,8,8.5,9
common difference:

3. 10,7,4,1,−2
common difference:

4. 1,1.1,1.2,1.3,1.4
common difference:

you start counting from left to right

when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.

Step-by-step explanation:

for example for 4 :

1. we can choose two numbers next to each other like 1 and 1.1

2. subtract second from first like 1.1 - 1 = 0.1

3. 1.1 + 0.1 = 1.2

1.2 + 0.1 = 1.3

and ...

so the common difference is 0.1

thats not a system of equations, that is a solution

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form