What is an equation of the line that passes through the point (4,-6) and has a slope of -3?

y = -3x + 6

Step-by-step explanation:

(4,-6)

y = mx + b

-6 = -3 × 4 + b

solving for b:

b = -6 - (-3)(4)

b = 6

Therefore,

y = -3x + 6

find out the value of b

step-by-step explanation:

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: