find the slope of the line

a lineperpendicular to -4x+4y=-2

answer is the slope of the line is -1.

Yes

the slope of the given line is +1, so the slope of the perpendicular line would be
-1/1 = -1

Thank-you.

If X is inversely proportional to y, and x=60 when y=0.5, find x when y=12

To find the slope of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line.

First, let's rearrange the given equation into slope-intercept form (y = mx + b), where m represents the slope:

-4x + 4y = -2
4y = 4x - 2
y = (4/4)x - (2/4)
y = x - 1/2

The slope of the given line is 1.

To find the slope of a line perpendicular to the given line, we take the negative reciprocal of 1. The reciprocal of 1 is 1/1, and when we negate it, we get -1.

Therefore, the slope of the line perpendicular to -4x + 4y = -2 is -1.