Question

Find the slope of the line thatvpadses through each pair of points (6,-2),(5,-4)

Answer 1

2

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}}`

Define the given points:

• Let (x₁, y₁) = (6, -2)
• Let (x₂, y₂) = (5, -4)

Substitute the points into the slope formula:

`\implies \textsf{Slope}=(-4-(-2))/(5-6)=(-4+2)/(5-6)=(-2)/(-1)=2`

Therefore, the slope of the line that passes through the given points is 2.