SOLUTION: Find the equation of the line passing through the point (-1,6) and parallel to the line -2x+y=9 and B) perpendicular to the line -2x+y=9 thank you

Question 63097: Find the equation of the line passing through the point (-1,6) and parallel to the line -2x+y=9 and B) perpendicular to the line -2x+y=9
thank you
Answer by uma(370) (Show Source): You can put this solution on YOUR website!
(A) Equation of the given line is -2x + y = 9
In the slope intercept form the above equation can be written as y = 2x + 9
Slope of this line = 2
So slope of any line parallel to this line = 2 as parallel lines have equal slopes.
The required line has a slope of 2 and passes through (-1,6)
The equation is y - 6 = 2(x - (-1))
==> y - 6 = 2(x+1)
==> y - 6 =2x + 2
==> y - 6 + 6 = 2x + 2 + 6
==> y = 2x + 8 is the required equation.
(B) The given line is 2x + y = 9
THis is rewritten as y = - 2x + 9
Slope of this line = -2
[as product of slopes of perpendicular lines = -1]
slope of the perpendicular line = -1/-2
= 1/2
The required line passes through (-1, 6)
The required equation is y - 6 = 1/2 (x + 1)
==> 2(y-6) = 1(x + 1)
==> 2y - 12 = x + 1
==> 2y - 12 - x - 1 = 0
==> -x + 2y - 13 = 0

Good Luck!!!
RELATED QUESTIONS
write the equation of the line passing through the point (5,-6) and parallel to line... (answered by josgarithmetic)

7. Consider the line L represented by the equation x + 4y = 12. (a) Find the equation of... (answered by Boreal)

7. Consider the line L represented by the equation x + 4y = 12. (a) Find the equation of... (answered by Cromlix)

find the equation of the line passing through the point(7,-2) and parallel to the line... (answered by stanbon)

Write am equation of the line passing through the point (4,-1) and perpendicular to the... (answered by Alan3354)

8.) find the equation of the line passing thru (4,-6) and parallel to the line 2x-3y=9 (answered by brysca)

equation of a line parallel to the given line and passing through the given point;... (answered by Fombitz)

Find the equation of straight line passing through the point (2,3) and parallel to the... (answered by Alan3354)

Write the equation of the line passing through the point and perpendicular to the given... (answered by Nate)