Question

Write the equation of a line with slope -1/5, passing through (2,-7) in point slope form

Answer 1

`y+7=-(1)/(5)(x-2)`

Step-by-step explanation:

The point-slope form of the equation of a line is given as:

`y-y_1=m(x-x_1)`

Given the following:

`\begin{gathered} \text{Slope,m}=-(1)/(5) \\ \text{Point:}$\mleft(x_1,y_1\mright)=\mleft(2,-7\mright)$ \end{gathered}`

Substitute into the formula above:

`\begin{gathered} y-(-7)=-(1)/(5)(x-2) \\ y+7=-(1)/(5)(x-2) \end{gathered}`

The equation of the line is:

`y+7=-(1)/(5)(x-2)`