Answer:
Step-by-step explanation:
Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.
In order to solve for the slope (<em>m </em>), use the following formula:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (3, 9)
(x₂, y₂) = (9, 1)
Substitute these values into the given formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 9)/(9 - 3)

Therefore, the slope of the line, m = -4/3.
Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:
y - y₁ = m(x - x₁)
⇒ This is the <u>point-slope form</u>.
Answer:
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
Step-by-step explanation:
Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.
Now, Samantha after nine months of deposit computes the simple interest.
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)
Answer:
560 cubic inches
Step-by-step explanation:
Substitute:
V = lwh
V = 4(10)(14)
V = 40(14)
V = 560 in^3