Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form

Given:

The equation of a line is

         ...(i)

The perpendicular line passes through the point (-1,4).

To find:

The equation of the perpendicular line.

Solution:

The slope intercept form of a line is:

           ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

Product of slopes of two perpendicular lines is -1.

Let the slope of perpendicular line is .

The slope of the perpendicular line is and it passes through the point (-1,4). So, the equation of the line is:

Add 4 on both sides.

Therefore, the equation of required line is .

true? is that what you're asking or do you mean something else?

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.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: