SOLUTION: I need help with writing this equation. The question is "Write the equation of the line through (-3,1) that is parallel to the line whose equation is 2x+y=1." Please help m

Algebra.Com
Question 728839: I need help with writing this equation.
The question is "Write the equation of the line through (-3,1) that is parallel to the line whose equation is 2x+y=1."
Please help me on what to do. I do know that I need to re-write equation in slope intercept form, so the equation is y=-2x+1, with a slope of -2. And I know that parallel lines have the same slope. But I don't know what to do from there. Thank you

Answer by mbmodak(32)   (Show Source): You can put this solution on YOUR website!

The given line 2x+y=1 or 2x+y-1=0
Slope of this line=-coefficient of x/coefficient of y
slope=-2/1=-2

The line passing thr(-3,1) has slope=m=-2

using point-slope form

y-y_1=m(x-x_1) here y_1=1 &x_1=-3

y-1=-2*((x-(-3))

y-1=-2x-6

y+2x+6-1=0 Changing sides
2x+y+5=0 slope of this line=-2 & it passes thr(-3,1) i.e.2*(-3)+1+5=0

2x+y+5=0 is the equation of line parallel & passing thr(-3,1)

RELATED QUESTIONS

I need help with this problem. It is an writing assignment. Write an equation of the... (answered by solver91311)
please help me with this question: write the equation of a line that is parallel to y =... (answered by solver91311)
Another question I need help with. Write an equation in slope-intercept form for the line (answered by ewatrrr)
I have a question on writing equations of parallel lines I understand that in order for... (answered by Mathtut,nerdybill)
I have a question on writing equations of parallel lines I understand that in order for... (answered by nerdybill,Mathtut,gonzo)
I need help on this questions! Find an equation of the line that passes through the... (answered by Edwin McCravy)
I need help with this problem can someone please help !! Write the equation of a line... (answered by josmiceli)
Write an equation of the line parallel to the line y = 3x + 2 that passes through (2,0).... (answered by lwsshak3)
im sorry but i need help again on alot this time 1)Write an equation of the line that (answered by mananth,richwmiller)