Question

Find an equation (in term of x) of line through the points (-1,3) and (1,4)

Answer 1

ANSWER

The equation is

`2y - x = 7`


Step-by-step explanation

The equation of the line that passes through the point (-1,3) and (1,4) can be found using the formula,


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

where


`m = (4 - 3)/(1 - - 1)`


`m = (1)/(2)`
is the slope and


`(x_1,y_1)`
is a point on the line.



The equation of the line becomes,



`y - 4 = (1)/(2) (x - 1)`


Multiply through by 2 to get,.


`2y - 8 = x - 1`

Or


`2y - x = 7`