Question

Need help with this question

Answer 1

First, let's find the slope of the line using the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

(($x_1$, $y_1$) and ($x_2$, $y_2$) are points on the line)

In context of this problem, we can use the formula to find the slope of the line between the two points:

$m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1$

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is $(y - y_1) = m(x - x_1)$ where ($x_1$, $y_1$) is a point on the line)

In the context of the problem, we could use the formula to find the equation of the line:

$(y - 6) = -1(x + 1)$

$(y - 6) = -x - 1$

$\boxed{y = -x + 5}$

The equation of the line is y = -x + 5.