Question

What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line `x + y = 13`?

Answer 1

`y=-x-1`

Explanation:

We know that this line will have the same slope as the line `x+y=13`, as they are parallel, so we need to find the slope first.
`y=-x+13` `m=-1`

Now, we can use the coordinates given and the slope we just found and plug the information into point-slope form.
`y-y_1=m(x-x_1)`
`y-7=-1(x+8)`
`y-7=-x-8`
`y=-x-1`