What is the equation of the line that passes through the point (6,8) and is perpendicular to a line with the equation y= 3/2x + 5?

Step-by-step explanation:

step 1

Find the slope of the line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The slope of the given line is

so

The slope of the line perpendicular to the given line is

step 2

Find the equation in point slope form

we have

substitute

step 3

Convert to slope intercept form

isolate the variable y

found it xd it ok yt

29933333.33

step-by-step explanation: