1 Answer

Rob Aston · Answer 1 · 2023-06-24T21:59:23+0000

Rewriting the equation of the given line in slope-intercept form,

$-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-(1)/(4)x-(1)/(4)$

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

$y=-(1)/(4)(x+4)\\\\\boxed{y=-(1)/(4)x-1}$

Please log in or register to add a comment.