Question

Find the equation of the line that would go through point (9,-1) and (-4.25,-1) using the formulas m=(y2-y1)/(x2-x1) and y-y1=m(x-x1)

Answer 1

Given the points:

P1(9, -1)

P2(-4.25, -1)

First, we find m:

`m=(y2-y1)/(x2-x1)=(-1-(-1))/(-4.25-9)=(-1+1)/(-13.25)=(0)/(-13.25)=0`

And using the given formula, we have:

`y-y1=m(x-x1)`

Where:

m = 0

y1 = -1

x1 = 9

Substitute the values:

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

The equation is: y = -1

Answer: y = -1