Write an equation in slope intercept form for a line that passes through the point (-1, 1) and is perpendicular to the line y=0.25x+6.

Question

create the correct equation in slope intercept form.

Answer 1

The slope of the perpendicular line will have the negative reciprocal of the original line. 0.25 (or 1/4) will be -4 for the perpendicular line.

Now need to find the new y-int. y = mx + b

Use the given point: 1 = -4(-1) + b so b = -3

y = -4x - 3

Answer 2

THe given line has a slope = 1/4. Any line perpendicular will have a slope that is the opposite reciprocal. so, any lime perpendicular to this given lime will have a slope = - 4, and it must pass through the point (- 1,1).

PUt this in point - slope form and you have

y - 1 = - 4( x - -1). But the problem asked for this to be putmin slope-intercept form - so, solve for y

y - 1 = - 4x - 4

y = -4x - 3. that is slope- intercept form.