Question

A line that passes through the point (1, –1) and parallel to another line whose slope is 1.

Answer 1

Parallel lines have same slope so so far the new equation looks like this
$y = 1x + b \\ y = mx + b$
now you plug in you points or coordinates to find b or solve for the y-intercept
$- 1 = 1(1) + b$
$- 1 = 1 + b$
$- 1 = 1 + b \\ - 1 = - 1$
$- 2 = b$
now that you have your b your final solution is
$y = 1x - 2 \: or \: y = x - 2$