Question

Find the equation of a line perpendicular to y=-3x-1 that contains the point (-1,1). Write the equation in slope intercept form.

Answer 1

y =
`(1)/(3)`x + 1
`(1)/(3)`

Explanation:

y = -3x - 1

1. Perpendicular line needs the opposite (reciprocal) of the slope.

reciprocal of -3 is -1/3, slope 1/3. y = 1/3x + b

2. Now find the b (y-intercept). 1 = 1/3(-1) + b

1 = -1/3 + b

+ 1/3 +1/3

1 1/3 = b

3. Answer y =
`(1)/(3)`x + 1
`(1)/(3)`