Question

Write the slope, intercept equation of the line that passes through the given point, and is perpendicular to the given line

Answer 1

The equation is
`y-4=(1)/(3) (x+6)`.

Explanation:
In perpendicular lines, the slopes are the negative reciprocal of each other. So the slope would be
`(1)/(3)`

Then use point-slope form.

Point slope form is
`y-y_1=m(x-x_1)` .

Where m is the slope and
`x_1\\` x value of a point and
`y_1` is the y value of a point

The equation would be
`y-4=(1)/(3) (x+6)`.