Question

Find the equation of the line that would go through point (9,-1) and (-4.25,-1)

Answer 1

Given: The two points below

`\begin{gathered} Point1:(9,-1) \\ Point2:(-4.25,-1) \end{gathered}`

To Determine: The equation of the line that passes through that points

Solution

The formula for finding the equation of a line that passes through two points is

`\begin{gathered} Point1:(x_1,y_1) \\ Point2:(x_2,y_2) \\ Equation \\ (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Let us substitute the given into the formula

`\begin{gathered} (y--1)/(x-9)=(-1--1)/(-4.25-9) \\ (y+1)/(x-9)=(-1+1)/(-13.25) \\ (y+1)/(x-9)=(0)/(-13.25) \\ (y+1)/(x-9)=0 \\ y+1=0 \\ y=-1 \end{gathered}`

Hence, the equation of the line is y = -1