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 -> 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 77934This 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 tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Lines that are perpendicular have slopes that are the negative reciprocal of each other:
Example: if Line #1 and Line #2 are perpendicular, than Slope #1 = 2 and SLope #2=-1/2.
.
If line #1=y=4x-7, than the slope of line #2 = -1/4
Points (0, 0) represents the y-intercept of line #2 (0, b). Therefore, the slope of Line #2 = -1/4 and the y-intercept = (0) or:
y=-1/4x+0
y=-1/4x
.
Graphing:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+4x-7%2C+%28-1%2F4%29x%29+