Question

Please help me somebody!!! I really struggle with this in math class!

Answer 1

`y - 9 = -(4)/(3)(x - 3)`

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 (m ), 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)

`m = (-8)/(6) = (-4)/(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)

`y - 9 = -(4)/(3)(x - 3)` ⇒ This is the point-slope form.