Question

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

Answer 1

Answer:

$y=\frac{-1}{3}x+5$

Step-by-step 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

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{6-7}{-3-(-6)}$

$m=\frac{-1}{3}$

Equation of line

$y-7=\frac{-1}{3} (x+6)$

$y=\frac{-1}{3}x-2+7$

$y=\frac{-1}{3}x+5$.

Answer 2

Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.
$6 = - \frac{1}{3} ( - 3) + 5 \\ 6 = 1 + 5 \\ true$