SOLUTION: The equation of the line parallel to the line whose equation is 2x+y=0 and passing through the point P(1,-3) is _______

SOLUTION: The equation of the line parallel to the line whose equation is 2x+y=0 and passing through the point P(1,-3) is ________ .

Question 173513This question is from textbook Essentials Algebra
: The equation of the line parallel to the line whose equation is 2x+y=0 and passing through the point P(1,-3) is ________ . This question is from textbook Essentials Algebra

Found 2 solutions by Mathtut, Alan3354:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lines that are parallel have equal slopes. we need to write this equation in y=mx+b format to easily spot the slope m
:
y=-2x+0...so slope is -2
:
now we use the point slope formula
:
y-(-3)=-2(x-1)
:
y+3=-2x+2
:

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The equation of the line parallel to the line whose equation is 2x+y=0 and passing through the point P(1,-3) is ________
-----------------
Parallel lines have the same slope.
Find the slope of the line by putting it into slope-intercept form.
2x+y=0
y = -2x
The slope, m, = -2
Then,
y-y1 = m*(x-x1) where (x1,y1) is the point (1,-3)
y+3 = -2(x-1)
y+3 = -2x+2
y = -2x - 1 slope-intercept form
2x+y = -1 standard form

RELATED QUESTIONS
Find an equation of the line passing through the point (5,4) and parallel to the line... (answered by jim_thompson5910)
Write the equation of the line in slope-intercept form passing through (-2, 3) and... (answered by macston)
Through the point (-2,3) and parallel to the line whose equation is... (answered by josgarithmetic)
Passing through (3,4) and parallel to the line whose equation is y = 2x - 6;... (answered by mananth)
write the equation of the line passing through the point (5,-6) and parallel to line... (answered by josgarithmetic)
passing through (-4,-4) and parallel to the line whose equation is... (answered by josgarithmetic)
what is the equation of the line passing through the point (-3, 1) and parallel to y =... (answered by pablo9619)
find the equation for the line passing through the point (1,-4) and parallel to the line... (answered by Tatiana_Stebko)
What is the equation of a line passing through (-4,2) and parallel to line whose equation (answered by richwmiller)