Hi, 

Note: the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept.         

line that is perpendicular to –4x – 8y = 24  OR y = (-1/2)x - 3    m = -1/2

Perpendicular lines have slopes that are negative reciprocals of one another

NEW line has slope m = 2

 y = 2x + b   Using ordered pair (4,-1) to solve for b

 -1 = 8 + b    b = -9

 y = 2x - 9





 

RELATED QUESTIONS

4x-12y=2;(10,-1)
write the equation of a line that is perpendicular to the given line... (answered by mananth)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by josmiceli)

write the equation of a line that is perpendicular to the given line and that passes... (answered by Jstrasner)

Write the equation of a line perpendicular to the given line but passing through the... (answered by Boreal)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by Fombitz,texttutoring)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by Fombitz)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by josgarithmetic)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by Fombitz)

Write the equation of a line that is perpendicular to the given line and that passes... (answered by amarjeeth123)