SOLUTION: Wite the equation of a line through the point (-6,3) parallel and perpendicular to the line 2x+3y=1.
Algebra.Com
Question 285263: Wite the equation of a line through the point (-6,3) parallel and perpendicular to the line 2x+3y=1.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Wite the equation of a line through the point (-6,3) parallel and perpendicular to the line 2x+3y=1.
----------------
Put the given equation in slope-intercept form:
y = (-2/3)x+(1/3)
slope = -2/3
----------------------
Any parallel line must have slope = -2/3
---
Any perpendicular line must have slope = 3/2
-----------
Equation of the parallel line thru (-6,-3)
-3 = (-2/3)(-6) + b
-3 = 4 + b
b = -7
Equation: y = (-2/3)x-7
=============================
Equation of the perpendicular line thru (-6,-3):
-3 = (3/2)(-6) + b
-3 = -9 + b
b = 6
Equation: y = (3/2)x+6
==================================
Cheers,
Stan H.
RELATED QUESTIONS
Wite the slope intercept form of the equation of the line described
Through: (1,-4),... (answered by solver91311,ewatrrr)
line p passes through point A(1,2)and is perpendicular to the line 3y=2x+3. Determine the (answered by josgarithmetic)
Line p passes through point A(1,2) and is perpendicular to the line 3y=2x+3. Determine... (answered by josgarithmetic)
write the equation of the line passing through the point (5,-6) and parallel to line... (answered by josgarithmetic)
determine the general equation of the line describe by the following
a)line passing... (answered by mananth)
Wite the slope-intercept form of an equation for a line that passes through (-1,0) and is (answered by nerdybill,uday1435)
Here is the question I'm stuck on:
Give an equation of each line described:
a)... (answered by MathLover1)
write an equation of a line parallel to the line y= -2x + b and passes through the point... (answered by Boreal)
Find the equation of the line passing through the point (3, 7) and
perpendicular to the... (answered by josmiceli)