Question

Through: (-3,0), perp. to y = 3x - 1

Answer 1

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

Explanation:

Given:

line y=3x-1

point (-3,0)

Write: equation of the line that is perpendicular to the given and passes through the point (-3,0)

Solution:

The slope of the given line is
`m=3`

If
`m_1` is the slope of perpendicular line, then

`m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-(1)/(3)`

So, the equation of the needed line is
`y=-(1)/(3)x+b.`

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

`0=-(1)/(3)\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-(1)/(3)x-1`