(3,2), (3,5)
1 answer:
You might be interested in
Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is
Step-by-step explanation:
The first term a₁ = 5
The tenth term a₁₀ = 13
Find Common difference d=?
The formula used for arithmetic sequence is:
where aₙ = nth term
a₁= 1st term
d= common difference
Finding d:
So, Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is
Keywords: arithmetic sequence
Learn more about arithmetic sequence at:
#learnwithBrainly
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3), then
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of line
Multiply through by 3
3y = 2x + 3 ( subtract 3y from both sides )
0 = 2x - 3y + 3 ( subtract 3 from both sides )
- 3 = 2x - 3y, that is
2x - 3y = - 3 ← in standard form