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 + 22

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 + 22       Log On


   

Question 753940: 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 + 22
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
With line y = 6x + 22
the gradient = 6
Another line that is perpendicular
to y = 6x + 22 would have a gradient
of -1/6
For perpendicular lines the gradients
multiply together to give -1
so, m1*m2 = -1
6*-1/6 = -1
Using coordinates (0,4)
and the equation
y - b = m(x - a) a = 0, b = 4
y - 4 = -1/6(x - 0)
y - 4 = -1/6x
y = -1/6x + 4