Question

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

Answer 1

y = ( -1 /3)x + 5

hope this helps!

Answer 2

`y=-(x)/(3) +5`

Explanation:

we know the two point:

(-6, 7 )

and (-3, 6)

From the first point:

`x_(1)=-6\\y_(1)=7`

and from the second point:

`x_(2)=-3\\y_(2)=6`

with thie information we can find the slope of the line between the poins:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

substituting the values:

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

and now we use the point slope equation to find the equation of the line:

`y=m(x-x_(1))+y_(1)`

substituting the values:

`y=-(1)/(3) (x-(-6))+7\\\\y=-(1)/(3) (x+6)+7\\\\y=-(x)/(3)-(6)/(3) +7\\\\y=-(x)/(3)-2 +7\\\\y=-(x)/(3)+5`

the solution is:

`y=-(x)/(3) +5`