Question

A line passes though the points (-5,-4) and (7,-7) . What is it’s equation in point-slope form?

Answer 1

Given the points of the line

`(-5,-4)\text{and(7,-7)}`

To find the equation of the line in point-slope form, we will follow the steps below

Step 1:

`\text{slope}=m=(-7-(-4))/(7-(-5))=(-7+4)/(7+5)=(-3)/(12)=-(1)/(4)`

The equation of the line in point-slope form is given by

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{where} \\ m=-(1)/(4) \\ x_1=-5 \\ y_1=-4 \end{gathered}`

Substituting these values, the point-slope form of the line will be:

`\begin{gathered} y-(-4)=-(1)/(4)(x-(-5)) \\ y+4=-(1)/(4)(x+5) \end{gathered}`