SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given point. –4x – 8y = 24; (4, –1)

Algebra ->  Linear-equations -> SOLUTION: Write the equation of a line that is perpendicular to the given line and that passes through the given point. –4x – 8y = 24; (4, –1)      Log On


   

Question 389269: Write the equation of a line that is perpendicular to the given line and that passes through the given point.
–4x – 8y = 24; (4, –1)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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