Question

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

Answer 1

Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.

`6 = - (1)/(3) ( - 3) + 5 \\ 6 = 1 + 5 \\ true`

Answer 2

`y=(-1)/(3)x+5`

Explanation:

We have two coordinates (-6, 7) & (-3, 6)

In order to find the equation of line, we use point slope form of line.

y - y₁ = m(x - x₁)

where m is the slope

and (x₁, y₁) is given first point.

and

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

`m=(6-7)/(-3-(-6))`

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

Equation of line

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

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

`y=(-1)/(3)x+5`.