Question

Which equation represents the line that passes through (-6,7) and (-3,6)

Answer 1

`x+3y=15`

Explanation:

Formula :- the equation of line which passes through the two points (x1,y1) and (x2,y2)

T-y1/y1-y2=x-x1/x1-x2[/tex]

therefore, the equation of the line which passes through the two points (-6,7) and (-3,6) is

`y1=7,y2=6`

`x1=-6 ,x2=-3`

by using above formula

`y-7/7-6=x+6/-6+3`

`y-7=x+6/-3`

by cross multiply

`-3y+21=x+6`

`x+3y=21-6`

`x+3y=15`

hence, this is required of line that passes through (-6,7) and (-3,6).