Write an equation in slope-intercept form for the line that passes through (-1, 4) and is perpendicular to the graph of the equation: y=3x+5 ?

1 Answer
Mar 24, 2018

y=(-1/3)x-(1/3)+4

Explanation:

Provided that the line passes through (-1,4) and is perpendicular to line y=3x+5
We know
The product of gradients of two mutually perpendicular lines is -1
So
Let m_1 = 3
We have to find m_2
So m_1 ×m_2 =-1
or, 3×m_2 =-1
Hence m_2 = -1/3
Choose m=-1/3
By point slope forme
(y-y_1)=m (x-x_1)
or, (y-4)=(-1/3)(x-(-1)
or, (y-4)=(-1/3)x-(1/3)
or, y=(-1/3)x-(1/3)+4 is the required equation.