SOLUTION: Write an equation of the line that passes through the point P and is perpendicular to the line with the given equation: P(1,4); y = -2x + 4 and Write an equation of the line th

Question 1039108: Write an equation of the line that passes through the point P
and is perpendicular to the line with the given equation:
P(1,4); y = -2x + 4
and
Write an equation of the line that passes through the point P
and is perpendicular to the line with the given equation:
P(5,3); y = 5x + 2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P(1,4); y = -2x + 4
The slope is -2, because it is in slope-intercept form.
Perpendicular lines have negative reciprocal slope, or +1/2. The product of -2 and (1/2) is -1
point slope formula (way 1)
y-y1=m(x-x1)
y-4=(1/2)(x-1)
y-4=(1/2)x-(1/2)
y=(1/2)x+(7/2)

y=5x+2 (5,3)
Second has slope of 5 and negative reciprocal is -1/5
way 2
y=mx+b
substitute x,y from point
3=(-1/5)*5+b
3=-1+b
b=4
y=(1/5)x+4
y-3=(-1/5)(x-5)
y=(-1/5)x+4

RELATED QUESTIONS
Write an equation of the line that passes through point p and is perpendicular to the... (answered by stanbon)

Write an equation of the line that passes through the given point and is perpendicular to (answered by Alan3354)

Write an equation of the line that passes through the point P and is parallel to the line (answered by tommyt3rd)

Write an equation of the line that passes through the point P and is parallel to the... (answered by jim_thompson5910)

Write an equation of the line that passes through point P and is parallel to the line... (answered by solver91311)

write an equation of the line that passes through point p and is parallel to the line... (answered by mananth)

write an equation of the line that passes through point p and is parallel to the line... (answered by Alan3354)

Write an equation of the line that passes through the given point and is perpendicular to (answered by lwsshak3)