SOLUTION: write an equation of the line in standard form that is perpendicular to 2x+6y=-4 and pass through (-1,-1)

Question 232617: write an equation of the line in standard form that is perpendicular to 2x+6y=-4 and pass through (-1,-1)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
write an equation of the line in standard form that is perpendicular to 2x+6y=-4 and pass through (-1,-1)
-----------
1st, find the slope, m1, of 2x+6y = -4 by putting it in slope-intercept form. (That means solve for y)
2x+6y = -4
x+3y = -2
3y = -x - 2
y = (-1/3)x - 2
m1 = -1/3
---------
The slope of lines perpendicular is the negative inverse of m1, = +3
--------
Use y = mx + b and the point to find b.
-1 = 3*-1 + b
b = 2
--------
--> y = 3x + 2 is thru (-1,-1) and perpendicular to 2x+6y = -4

RELATED QUESTIONS
write an equation in standard form of the line that passes through the point P(6,-1) and... (answered by josgarithmetic)

Write an equation in slope intercept form that pass through (-3,5) and is parallel to the (answered by josgarithmetic)

write the equation of a line that passes through the point (-1, 4) and is perpendicular... (answered by ewatrrr)

Write the equation of the line that goes through the point (-1, 4) and is perpendicular... (answered by solver91311)

Write an equation in slope-intercept form for a line that is perpendicular to 2x + 3y =... (answered by josgarithmetic)

Find the equation in standard form, of the line perpendicular to 3x - 6y = 9 and passing... (answered by sdmmadam@yahoo.com)

Find an equation of the line in the standard form that passes through the point P (-1,-2) (answered by greenestamps)

Find equation, in standard form, of the line perpendicular to 3x - 6y =9 and passing... (answered by Cintchr)

write an equation in slope intercept form of the line that passes through (-7,2) and is... (answered by josgarithmetic,greenestamps)