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

entering that problem on the tube might get you an answer

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: