Question

Write the point-slope form of the line that passes through (6,1) and is perpendicular to a line with a slope of -3. include all of your work in your final answer.

Answer 1

`(y-1)=(1)/(3)(x-6)`

Explanation:

The equation of the line in point-slope form is:

`(y-y_1)=m(x-x_1)`

Where m is the slope and
`(x_1,y_1)` is a point of the line.

The slopes of two perpendicular lines are opposite reciprocal, then the other slope is:

m=
`(1)/(3)`

Substitute the slope and the given point into the equation, then you obtain:

`(y-1)=(1)/(3)(x-6)`