Give the slope-intercept form of the equation of the line that is perpendicular to 7x + 3y = 18 and contains P (6, 8).

First, convert 7x+3y=18 to slope intercept form:

3y=18-7x

y=-7/3x+6

Second, we know that a perpendicular line has an opposite slope:

Slope of perpendicular line is y=7/3x

To find the y intercept multiply 7/3 by 6 and subtract from 8:

7/3*6/1=42/3 = 14

8-14=-6

The perpendicular line is y=7/3x-6