Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Answer:
7
Step-by-step explanation:
7 is a positive number and is greater than -8.
Answer:
repost it, I cant see all of the question
Answer:
The function that describes the arithmetic sequence is A(n) = 4n + 6
Step-by-step explanation:
The formula of the arithmetic sequence is a
= a + (n - 1)d, where
- a is the first term of the sequence
- d is the common difference between each 2 consecutive terms
- n is the position of the number
∵ The terms of the sequence area 10, 14, 18, 22
∵ The first term is 10
∴ a = 10
∵ 14 - 10 = 4
∵ 18 - 14 = 4
∵ 22 - 18 = 4
∴ The common difference is 4
∴ d = 4
→ Substitute them in the formula above
∵ a = 10 + (n - 1)4
∴ a = 10 + n(4) - 1(4)
∴ a = 10 + 4n - 4
→ Add the like terms
∵ a = 4n + (10 - 4)
∴ a = 4n + 6
→ Write it in the form of the function A(n)
∴ A(n) = 4n + 6
∴ The function that describes the arithmetic sequence is A(n) = 4n + 6
