Question

Need help with this question

Answer 1

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

`m = (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 = (-2 -6)/(7 - (-1)) = (-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.