The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:
[tex]y = 4x-2[/tex]
The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:
[tex]y = m_2x+b[/tex]
Putting the value of slope
[tex]y = 4x+b[/tex]
to find the value of b, putting (5,-11) in the equation
[tex]-11 = 4(5) + b\\-11 = 20+b\\b = -11-20\\b = -31[/tex]
Putting the value of b
[tex]y=4x-31[/tex]
Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
