The line contains the point (9,-9) and has the same y-intercept as y + 1 = 4 (x - 2). write the equation of this line in slope-intercept form.

The equation for this line, in slope-intercept form, is given by:

Step-by-step explanation:

The equation of a line in the slope-intercept form has the following format:

In which a is the slope of the line and b is the y intercept.

Solution:

The line has the same y-intercept as .

So, we have to find the y-intercept of this equation

This equation, has the y-intercept = -9. Since this line has the same intercept, we have that .

Fow now, the equation of this line is

The line contains the point

This means that when . We replace this in the equation and find a

The equation for this line, in slope-intercept form, is given by:

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: