Answer:
[tex]\textsf{1.} \quad 2[/tex]
[tex]\textsf{2.} \quad -4[/tex]
[tex]\textsf{3.\quad und\:\!efined}[/tex]
[tex]\textsf{4.} \quad 0\;\;\textsf{(zero)}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]
Question 1
Given points:
- (x₁, y₁) = (0, -1)
- (x₂, y₂) = (2, 3)
Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{3-(-1)}{2-0}=\dfrac{4}{2}=2[/tex]
Question 2
Given points:
- (x₁, y₁) = (6, -10)
- (x₂, y₂) = (2, 6)
Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{6-(-10)}{2-6}=\dfrac{16}{-4}=-4[/tex]
Question 3
Given points:
- (x₁, y₁) = (3 ,2)
- (x₂, y₂) = (3, 5)
Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{5-2}{3-3}=\dfrac{3}{0}=\textsf{und\:\!efined}[/tex]
Question 4
Given points:
- (x₁, y₁) = (2, 3)
- (x₂, y₂) = (5, 3)
Substitute the given points into the slope formula:
[tex]\implies \textsf{Slope}=\dfrac{3-3}{5-2}=\dfrac{0}{3}=0[/tex]
