Write the equation in slope-intercept form of the line that is perpendicular to the graph of each equation and passes through the given point. y = -5x + 1; through (2, -1)

Step-by-step explanation:

The equation is y = 1/5x -7/5

Step-by-step explanation:

The given equation is in the form of y = mx + b

⇒ m = -5

since the line is perpendicular, therefore perpendicular line has a slope reciprocal of the given slope, that is m = 1/5

By using point slope equation  (y-y1) = m(x-x1)

here (y1,x1) = (2,-1) and m = 1/5

(y-(-1)) = (1/5)(x-2)

y+1 = 1/5x -2/5

y+1-1 = 1/5x - 2/5 -1

y = 1/5x -7/5 is the desired equation.  

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: