Answer:
Step-by-step explanation:
An equation in point-slope form for the line perpendicular to y=1/4x-7 and passing through (-2,-6) is:
y - (-6) = -4(x - (-2))
This equation can also be written in slope-intercept form (y = mx + b) as:
y = -4x + 4
The slope of the line is -4 because it is perpendicular to the line y=1/4x-7 and the slope of that line is 1/4. The point (-2,-6) is the point where the line passes through, so the y-intercept is 4.