SOLUTION: Write an equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form. (0,0), y=4x-7

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Write an equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form. (0,0), y=4x-7       Log On


   

Question 77933This question is from textbook Intermediate Algebra
: Write an equation of the line that passes through the given point and is perpendicular to the given line. Write the answer in slope-intercept form.
(0,0), y=4x-7
 This question is from textbook Intermediate Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
lines that are perpendicular have slopes that are negative reciprocals of each other

the given line has a slope of 4 so the slope of the new line is -1/4 ... so y=(-1/4)x+b

plugging in the given point 0=(-1/4)0+b, we see that b=0 ... so the equation is y=(-1/4)x