SOLUTION: write a linear equation of a line that passes through (3,1) and is perpendicular to y= -3x +2

Question 902144: write a linear equation of a line that passes through (3,1) and is perpendicular to y= -3x +2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Do it like this one:
write a linear equation of a line that passes through (8,-6) and is perpendicular to 2x-y= 4
------------
Find the slope of the line.
Put the eqn in slope-intercept form y = mx + b. That means solve for y.
2x-y= 4
y = 2x - 4 --> m = slope = 2
---
The slope of lines perpendicular is the negative inverse = -1/2
---
y-y1 = m*(x-x1)
y + 6 = (-1/2)*(x - 8)
2y + 12 = -x + 8
x + 2y = -4

RELATED QUESTIONS
Write the equation of a line that passes through (0,5) and is perpendicular to... (answered by Boreal)

write a linear equation of a line that passes through (8,-6) and is perpendicular to... (answered by Alan3354)

write a linear equation of a line that passes through (-2,1) and is perpendicular to y=... (answered by Alan3354)

y=-3x write an equation of a line that is perpendicular to y=-3x+5 and passes through... (answered by stanbon)

write a linear equation of a line that passes through (2,-2) and is perpendicular to... (answered by Alan3354)

Write and equation of a line that passes through the given point and is perpendicular to... (answered by Boreal)

write the equation of a line perpendicular to y=-3x+6 and passes through... (answered by JBarnum)

Write an equation of a line that passes through the point (2,0) and is perpendicular to... (answered by scott8148)

Write an equation of a line that is perpendicular to y= -3/4x + 2 and passes through... (answered by checkley71)