Question

What is the slope of the line that passes through the points (6,-10) and (3,-13)? Write in simplist form

Answer 1

Use the slope formula to find the slope of a line that goes through two points:

`\begin{gathered} \text{Coordinates of two points}\rightarrow\text{ }(x_1,y_1),(x_2,y_2) \\ \text{Slope of a line through those points}\rightarrow m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Substitute the coordinates (6,-10) and (3,-13) into the slope formula:

`\begin{gathered} m=((-13)-(-10))/((3)-(6)) \\ =(-13+10)/(3-6) \\ =(-3)/(-3) \\ =1 \end{gathered}`

Therefore, the slope of a line that passes through those points, is 1.