SOLUTION: Find the equation of the line that contains the point (1,0) and is perpendicular to 2x+y=-4. First, find the slope: 2x+y=-4 2x-2x+y=-2x-4 y=-2x-4 Slope is -2. The slope of th

Question 204857This question is from textbook Introductory Algebra
: Find the equation of the line that contains the point (1,0) and is perpendicular to 2x+y=-4.
First, find the slope:
2x+y=-4
2x-2x+y=-2x-4
y=-2x-4
Slope is -2.
The slope of the perpendicular line would be the reciprocal of -2 with the sign changed. Reciprocal of -2/1 is -1/2 and changing the sign gives 1/2.
Slope is 1/2.
I know we then need to find the y intercept and find the value of b; however, I cannot figure out how to get to this point. Please assist in helping me from here to solve this problem. Once I see the work, I then understand how to do it and can work backwards to do them in the future.
Thanks for the help! BTW, this is due Sunday, so I need it before then if possible. Thanks again. This question is from textbook Introductory Algebra

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the equation of the line that contains the point (1,0) and is perpendicular to 2x+y=-4.
First, find the slope:
2x+y=-4
2x-2x+y=-2x-4
y=-2x-4
Slope is -2.
The slope of the perpendicular line would be the reciprocal of -2 with the sign changed. Reciprocal of -2/1 is -1/2 and changing the sign gives 1/2.
Slope is 1/2.
------------------
The slope is 1/2, as you determined.
Then use:
y-y1 = m*(x-x1) where (x1,y1) is the point (1,0)
y-0 = (1/2)*(x-1)
y = (1/2)x - 1/2 slope-intercept form
x - 2y = 1 standard form

RELATED QUESTIONS
find an equation of the line that contains the point (1,0) and is perpendicular to 2x + (answered by checkley71)

Find an equation of the line that contains the point (1,0) and is perpendicular to... (answered by Mathtut)

Find an equation of the line that contains the point (1,0) and is perpendicular to 2x+y=... (answered by solver91311)

Find an equation of the line that contains the point (1,0) and is perpendicular to... (answered by PRMath)

find an equation of the line that contains the point (1,0) and is perpendicular to 2x + y (answered by Fombitz)

Find an equation of the line that contains the point (1,0) and is perpendicular to... (answered by Fombitz)

Find an equation of ther line that contains the point (1,0) and is perpendicular to 2x +... (answered by Alan3354)

Find the point slope form of the equation of the line that is perpendicular to 2x-3y=4... (answered by Boreal,Cromlix)

Find the equation of the line that is perpendicular to the line in y=-1/4+2x and passes... (answered by Fombitz,ewatrrr)