Plz help I am desperate lol

Question # 7

Given two points

Determining the slope of the line passing through the points (0, 0) and (3, 3)

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [3 - 0] / [3 - 0]

                = 3 / 3  

                = 1

Thus, the slope of the line = m = 1

Question # 8

Given two points

Determining the slope of the line passing through the points (1, 3) and (5, 5)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (5, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 3] / [5 - 1]

                = 2/4  

                = 1/2

Thus, the slope of the line = m = 1/2

Question # 9

Given two points

Determining the slope of the line passing through the points (4, 4) and (5, 3)

(x₁, y₁) = (4, 4)

(x₂, y₂) = (5, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [3 - 4] / [5 - 4]

                = -1 / 1  

                = -1

Thus, the slope of the line = m = -1

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)