Write the point-slope equation of the line with the given properties. Solve the equation for y. M= -0.25, (12,7)

y = -0.25x + 10

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

Here, y1 is 7, m is -0.25, and x1 is 12

When you plug these values in, you get y - 7 = -0.25 (x - 12)

Now we have to solve for y.

y - 7 = -0.25 (x - 12)

Distribute

y - 7 = -0.25x + 3

Add 7 to both sides

y = -0.25x + 10

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: