SOLUTION: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?      Log On


   

Question 428573: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4x+y=2
Find the slope of this line
y=-4x+2
y=-4x+2
Compare this equation with y=mx+b
slope m = -4
The slope of a line parallel to the above line will be the same
The slope of the required line will be -4
m=-4,point(4,-3)
Find b by plugging the values of m & the point in
y=mx+b
-3=-16.00+b
b=13
m=-4
Plug value of the slope and b
The required equation is y=-4x+13