Question

Help me pleaseeeeee pleaseeeeeeee(⁠ᗒ⁠ᗩ⁠ᗕ⁠)

find the slope of line given the ff. points.
1. (0.-1) and (2,3)
3.(6,-10) and (2,6)
3,(3,2) and (3,5)
4.(2,3) and(5,3)​

Answer 1

`\textsf{1.} \quad 2`

`\textsf{2.} \quad -4`

`\textsf{3.\quad und\:\!efined}`

`\textsf{4.} \quad 0\;\;\textsf{(zero)}`

Explanation:

`\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}`

Question 1

Given points:

• (x₁, y₁) = (0, -1)
• (x₂, y₂) = (2, 3)

Substitute the given points into the slope formula:

`\implies \textsf{Slope}=(3-(-1))/(2-0)=(4)/(2)=2`

Question 2

Given points:

• (x₁, y₁) = (6, -10)
• (x₂, y₂) = (2, 6)

Substitute the given points into the slope formula:

`\implies \textsf{Slope}=(6-(-10))/(2-6)=(16)/(-4)=-4`

Question 3

Given points:

• (x₁, y₁) = (3 ,2)
• (x₂, y₂) = (3, 5)

Substitute the given points into the slope formula:

`\implies \textsf{Slope}=(5-2)/(3-3)=(3)/(0)=\textsf{und\:\!efined}`

Question 4

Given points:

• (x₁, y₁) = (2, 3)
• (x₂, y₂) = (5, 3)​

Substitute the given points into the slope formula:

`\implies \textsf{Slope}=(3-3)/(5-2)=(0)/(3)=0`

Answer 2

Find the slope of the pairs of points

Slope equation

• m = (y₂ - y₁) / (x₂ - x₁)

1. (0.-1) and (2,3)

• m = (3 - (-1)) / (2 - 0) = 4/2 = 2

2. (6,-10) and (2,6)

• m = (6 - (-10)) / (2 - 6) = 16/ (- 4) = - 4

3. (3,2) and (3,5)

• m = (5 - 2) / (3 - 3) = 3 / 0 = undefined, the line is vertical

4. (2,3) and(5,3)​

• m = (3 - 3) / (5 - 2) = 0 / 3 = 0, the line is horizontal