What is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y-1=0?
1 Answer
Jun 25, 2016
y=-4x+6
Explanation:
Look at the diagram
The given line (Red Colour Line) is -
4x+y-1=0
The required line (Green Colour Line) is passing through the point(1,2)
Step - 1
Find the slope of the given line.
It is in the form
ax+by+c=0
Its slope is defined as
m_1=(-a)/b=(-4)/1=-4
Step -2
The two lines are parallel.
Hence, their slopes are equal
The slope of the required line is
m_2=m_1=-4
Step - 3
The equation of the required line
y=mx+c
Where-
m=-4
x=1
y=2
Find
c+mx=y
c+(-4)1=2
c-4=2
c=2+4=6
After knowing
use the slope
y=-4x+6
Parallel Lines