What is the equation of the line perpendicular to y =1/2x+3 passsing through the point (-3,4)?

y = -2x + 10

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original line.

1/2 -> -2/1 -> -2

Solve for the new y-intercept using the point we are given.

y = 2x + b

4 = 2(-3) + b

4 = -6 + b

10 = b

Fill in everything we solve for in slope-intercept form [ y = mx + b ]

y = -2x + 10

Best of Luck!

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: