Question 60776
To find the slope and y-intercept, rewrite the equation in the slope-intercept form: {{{y = mx + b}}} where: m is the slope and b is the y-intercept.

{{{-x - 4y = -32}}}  Add 4y to both sides.
{{{-x = 4y - 32}}} Add 32 to both sides.
{{{-x + 32 = 4y}}} Finally, divide both sides by 4.
{{{(-1/4)x + 8 = y}}} or
{{{y = (-1/4)x + 8}}} Compare this with:
{{{y = mx + b}}}

The slope, {{{m = -1/4}}}
The y-intercept, {{{b = 8}}}