Question

What is the equation of the line that passes through the following points?: (2,3),(1,5),

Answer 1

`2x+y-7=0`

Explanation:

You can find the slope, `m`, of the line first.
`m=(y_2-y_1)/(x_2-x_1)`
So slope`= -2`
Then you can find the equation; you can choose any point you like, I choose `( 1,5)`.
The equation is given by;
`(y-y_1)=m(x-x_1)`
`(y-5)=-2(x-1)`
`y-5=-2x+2`
SO the equation is `2x+y-7=0`