Question

I will give 80 points if u anwser this.

What is the equation of this line in standard form? 


7x−6y=11

6x−5y=−13

6x−7y=11

6x−7y=−11

Answer 1

`6x-7y=11`

Explanation:

we know that

The equation of the line in standard form is equal to

`Ax+By=C`

step 1

Find the slope m

Let

`A(-3,-1), B(1/2,2)`

`m=(2+1)/((1/2)+3)\\ \\m=(6)/(7)`

step 2

The equation of the line in point-slope form is equal to

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

with the slope m and the point B find the equation of the line

`y+1=(6)/(7)(x+3)` ------> multiply by 7 both sides

`7y+7=6(x+3)`

`7y+7=6x+18`

convert to standard form

`6x-7y=18-7`

`6x-7y=11`