SOLUTION: Find the equation of a line in slope intercept form that passes through the point (0,4), and is perpendicular to the line y=6x+19

Algebra ->  Linear-equations -> SOLUTION: Find the equation of a line in slope intercept form that passes through the point (0,4), and is perpendicular to the line y=6x+19      Log On


   



Question 550543: Find the equation of a line in slope intercept form that passes through the point (0,4), and is perpendicular to the line y=6x+19
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are the opposite reciprocal (flip it over and make it negative).
Is our slope is 6/1 so the new slope will be -1/6
So far we know
y=(-1/6)x+b
We can sub in 0 and 4 for x and y and solve for b
4=(-1/6)*(0)+b
4=b

now going back to y=mx+b
we know that m=(-1/6) and b=4
y=(-1/6)x+4 is our perpendicular line